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921052992 = 26329831993
BaseRepresentation
bin110110111001100…
…010011101000000
32101012010100011210
4312321202131000
53341242143432
6231221210120
731552551456
oct6671423500
92335110153
10921052992
11432a01822
12218560940
13118a88192
148a47a9d6
1555cd98cc
hex36e62740

921052992 has 112 divisors (see below), whose sum is σ = 2552639040. Its totient is φ = 292712448.

The previous prime is 921052981. The next prime is 921052999. The reversal of 921052992 is 299250129.

It is a super-2 number, since 2×9210529922 = 1696677228144304128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 921052992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (921052999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461148 + ... + 463140.

It is an arithmetic number, because the mean of its divisors is an integer number (22791420).

Almost surely, 2921052992 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 921052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276319520).

921052992 is an abundant number, since it is smaller than the sum of its proper divisors (1631586048).

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

921052992 is a wasteful number, since it uses less digits than its factorization.

921052992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 921052992 is about 30348.8548713127. The cubic root of 921052992 is about 972.9597457034.

The spelling of 921052992 in words is "nine hundred twenty-one million, fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 83 87 96 116 166 174 192 232 249 332 348 464 498 664 696 928 996 1328 1392 1856 1992 1993 2407 2656 2784 3984 3986 4814 5312 5568 5979 7221 7968 7972 9628 11958 14442 15936 15944 19256 23916 28884 31888 38512 47832 57768 57797 63776 77024 95664 115536 115594 127552 154048 165419 173391 191328 231072 231188 330838 346782 382656 462144 462376 496257 661676 693564 924752 992514 1323352 1387128 1849504 1985028 2646704 2774256 3699008 3970056 4797151 5293408 5548512 7940112 9594302 10586816 11097024 14391453 15880224 19188604 28782906 31760448 38377208 57565812 76754416 115131624 153508832 230263248 307017664 460526496 921052992