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3923214848 = 29717193389
BaseRepresentation
bin1110100111010111…
…1000001000000000
3101010102012222000122
43221311320020000
531013320333343
61445144035412
7166135530110
oct35165701000
911112188018
103923214848
111733609423
12915a62b68
134a6a48707
14293087040
1517e659068
hexe9d78200

3923214848 has 160 divisors (see below), whose sum is σ = 9987753600. Its totient is φ = 1498742784.

The previous prime is 3923214839. The next prime is 3923214851. The reversal of 3923214848 is 8484123293.

It is a super-2 number, since 2×39232148482 = 30783229487135326208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3923214799 and 3923214808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155938 + ... + 1159326.

It is an arithmetic number, because the mean of its divisors is an integer number (62423460).

Almost surely, 23923214848 is an apocalyptic number.

3923214848 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3923214848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993876800).

3923214848 is an abundant number, since it is smaller than the sum of its proper divisors (6064538752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3923214848 is a wasteful number, since it uses less digits than its factorization.

3923214848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3434 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 3923214848 is about 62635.5717464126. The cubic root of 3923214848 is about 1577.1779524301.

The spelling of 3923214848 in words is "three billion, nine hundred twenty-three million, two hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 128 133 136 152 224 238 256 266 272 304 323 448 476 512 532 544 608 646 896 952 1064 1088 1216 1292 1792 1904 2128 2176 2261 2432 2584 3389 3584 3808 4256 4352 4522 4864 5168 6778 7616 8512 8704 9044 9728 10336 13556 15232 17024 18088 20672 23723 27112 30464 34048 36176 41344 47446 54224 57613 60928 64391 68096 72352 82688 94892 108448 115226 128782 144704 165376 189784 216896 230452 257564 289408 379568 403291 433792 450737 460904 515128 578816 759136 806582 867584 901474 921808 1030256 1094647 1157632 1518272 1613164 1735168 1802948 1843616 2060512 2189294 3036544 3226328 3605896 3687232 4121024 4378588 6073088 6452656 7211792 7374464 7662529 8242048 8757176 12146176 12905312 14423584 14748928 15325058 16484096 17514352 25810624 28847168 29497856 30650116 32968192 35028704 51621248 57694336 61300232 70057408 103242496 115388672 122600464 140114816 206484992 230777344 245200928 280229632 490401856 560459264 980803712 1961607424 3923214848