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3920417592 = 2337131994477
BaseRepresentation
bin1110100110101100…
…1101001100111000
3101010012221211220120
43221223031030320
531012111330332
61445004053240
7166102666620
oct35153151470
911105854816
103920417592
111731a78843
12914b34220
134a62a9430
14292959880
1517e2a532c
hexe9acd338

3920417592 has 128 divisors (see below), whose sum is σ = 12697843200. Its totient is φ = 979527168.

The previous prime is 3920417591. The next prime is 3920417639. The reversal of 3920417592 is 2957140293.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3920417591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5743 + ... + 88734.

It is an arithmetic number, because the mean of its divisors is an integer number (99201900).

Almost surely, 23920417592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3920417592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348921600).

3920417592 is an abundant number, since it is smaller than the sum of its proper divisors (8777425608).

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

3920417592 is a wasteful number, since it uses less digits than its factorization.

3920417592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94525 (or 94521 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 3920417592 is about 62613.2381529657. The cubic root of 3920417592 is about 1576.8030201693.

The spelling of 3920417592 in words is "three billion, nine hundred twenty million, four hundred seventeen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1976 2184 2964 3192 3458 5187 5928 6916 10374 13832 20748 41496 94477 188954 283431 377908 566862 661339 755816 1133724 1228201 1322678 1795063 1984017 2267448 2456402 2645356 3590126 3684603 3968034 4912804 5290712 5385189 7180252 7369206 7936068 8597407 9825608 10770378 12565441 14360504 14738412 15872136 17194814 21540756 23335819 25130882 25792221 29476824 34389628 37696323 43081512 46671638 50261764 51584442 68779256 70007457 75392646 93343276 100523528 103168884 140014914 150785292 163350733 186686552 206337768 280029828 301570584 326701466 490052199 560059656 653402932 980104398 1306805864 1960208796 3920417592