Search a number
-
+
3924796896 = 253329156641
BaseRepresentation
bin1110100111101111…
…1010010111100000
3101010112012100012000
43221323322113200
531014222000041
61445242004000
7166155136356
oct35173722740
911115170160
103924796896
111734499aa9
129164a6600
134a7180837
142933797d6
1517e86cbb6
hexe9efa5e0

3924796896 has 96 divisors (see below), whose sum is σ = 11842135200. Its totient is φ = 1263144960.

The previous prime is 3924796877. The next prime is 3924796937. The reversal of 3924796896 is 6986974293.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53265 + ... + 103376.

It is an arithmetic number, because the mean of its divisors is an integer number (123355575).

Almost surely, 23924796896 is an apocalyptic number.

3924796896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3924796896 is an abundant number, since it is smaller than the sum of its proper divisors (7917338304).

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

3924796896 is a wasteful number, since it uses less digits than its factorization.

3924796896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156689 (or 156675 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 3924796896 is about 62648.1994633525. The cubic root of 3924796896 is about 1577.3899244991.

The spelling of 3924796896 in words is "three billion, nine hundred twenty-four million, seven hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 156641 313282 469923 626564 939846 1253128 1409769 1879692 2506256 2819538 3759384 4229307 4542589 5012512 5639076 7518768 8458614 9085178 11278152 13627767 15037536 16917228 18170356 22556304 27255534 33834456 36340712 40883301 45112608 54511068 67668912 72681424 81766602 109022136 122649903 135337824 145362848 163533204 218044272 245299806 327066408 436088544 490599612 654132816 981199224 1308265632 1962398448 3924796896