Search a number
-
+
3926297856 = 28313479821
BaseRepresentation
bin1110101000000110…
…1000110100000000
3101010122000121010010
43222001220310000
531020113012411
61445334104520
7166203660345
oct35201506400
911118017103
103926297856
111735324768
12916aab140
134a7587a90
1429364a7cc
1517ea677a6
hexea068d00

3926297856 has 144 divisors (see below), whose sum is σ = 11290728960. Its totient is φ = 1204101120.

The previous prime is 3926297831. The next prime is 3926297899. The reversal of 3926297856 is 6587926293.

It is a junction number, because it is equal to n+sod(n) for n = 3926297796 and 3926297805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4781926 + ... + 4782746.

It is an arithmetic number, because the mean of its divisors is an integer number (78407840).

Almost surely, 23926297856 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 3926297856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645364480).

3926297856 is an abundant number, since it is smaller than the sum of its proper divisors (7364431104).

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

3926297856 is a wasteful number, since it uses less digits than its factorization.

3926297856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1318 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The square root of 3926297856 is about 62660.1775931093. The cubic root of 3926297856 is about 1577.5909792708.

The spelling of 3926297856 in words is "three billion, nine hundred twenty-six million, two hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 479 624 768 821 832 958 1248 1437 1642 1664 1916 2463 2496 2874 3284 3328 3832 4926 4992 5748 6227 6568 7664 9852 9984 10673 11496 12454 13136 15328 18681 19704 21346 22992 24908 26272 30656 32019 37362 39408 42692 45984 49816 52544 61312 64038 74724 78816 85384 91968 99632 105088 122624 128076 149448 157632 170768 183936 199264 210176 256152 298896 315264 341536 367872 393259 398528 512304 597792 630528 683072 786518 797056 1024608 1179777 1195584 1366144 1573036 1594112 2049216 2359554 2391168 2732288 3146072 4098432 4719108 4782336 5112367 6292144 8196864 9438216 10224734 12584288 15337101 18876432 20449468 25168576 30674202 37752864 40898936 50337152 61348404 75505728 81797872 100674304 122696808 151011456 163595744 245393616 302022912 327191488 490787232 654382976 981574464 1308765952 1963148928 3926297856