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929797056 = 2634672677
BaseRepresentation
bin110111011010111…
…001001111000000
32101210120120210000
4313122321033000
53401012001211
6232132440000
732020100406
oct6732711700
92353516700
10929797056
11437934321
1221b479000
1311a82a196
148b6b5476
1556965656
hex376b93c0

929797056 has 140 divisors (see below), whose sum is σ = 2798392168. Its totient is φ = 305192448.

The previous prime is 929797051. The next prime is 929797061. The reversal of 929797056 is 650797929.

It is an interprime number because it is at equal distance from previous prime (929797051) and next prime (929797061).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 929796993 and 929797011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (929797051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 345990 + ... + 348666.

Almost surely, 2929797056 is an apocalyptic number.

929797056 is a gapful number since it is divisible by the number (96) 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 929797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399196084).

929797056 is an abundant number, since it is smaller than the sum of its proper divisors (1868595112).

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

929797056 is a wasteful number, since it uses less digits than its factorization.

929797056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 929797056 is about 30492.5737844479. The cubic root of 929797056 is about 976.0290011986.

The spelling of 929797056 in words is "nine hundred twenty-nine million, seven hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 134 144 162 192 201 216 268 288 324 402 432 536 576 603 648 804 864 1072 1206 1296 1608 1728 1809 2144 2412 2592 2677 3216 3618 4288 4824 5184 5354 5427 6432 7236 8031 9648 10708 10854 12864 14472 16062 19296 21416 21708 24093 28944 32124 38592 42832 43416 48186 57888 64248 72279 85664 86832 96372 115776 128496 144558 171328 173664 179359 192744 216837 256992 289116 347328 358718 385488 433674 513984 538077 578232 717436 770976 867348 1076154 1156464 1434872 1541952 1614231 1734696 2152308 2312928 2869744 3228462 3469392 4304616 4625856 4842693 5739488 6456924 6938784 8609232 9685386 11478976 12913848 13877568 14528079 17218464 19370772 25827696 29056158 34436928 38741544 51655392 58112316 77483088 103310784 116224632 154966176 232449264 309932352 464898528 929797056