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920497152 = 21031092749
BaseRepresentation
bin110110110111011…
…010110000000000
32101011002002201010
4312313122300000
53341121402102
6231201240520
731545045111
oct6667326000
92334062633
10920497152
11432662153
12218333140
13118922193
148a374208
1555c29d6c
hex36ddac00

920497152 has 88 divisors (see below), whose sum is σ = 2476870000. Its totient is φ = 303906816.

The previous prime is 920497129. The next prime is 920497213. The reversal of 920497152 is 251794029.

It is a super-2 number, since 2×9204971522 = 1694630013680222208, 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 920497152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333474 + ... + 336222.

It is an arithmetic number, because the mean of its divisors is an integer number (28146250).

Almost surely, 2920497152 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 920497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238435000).

920497152 is an abundant number, since it is smaller than the sum of its proper divisors (1556372848).

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

920497152 is a wasteful number, since it uses less digits than its factorization.

920497152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 920497152 is about 30339.6959773825. The cubic root of 920497152 is about 972.7639847008.

The spelling of 920497152 in words is "nine hundred twenty million, four hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 512 654 768 872 1024 1308 1536 1744 2616 2749 3072 3488 5232 5498 6976 8247 10464 10996 13952 16494 20928 21992 27904 32988 41856 43984 55808 65976 83712 87968 111616 131952 167424 175936 263904 299641 334848 351872 527808 599282 703744 898923 1055616 1198564 1407488 1797846 2111232 2397128 2814976 3595692 4222464 4794256 7191384 8444928 9588512 14382768 19177024 28765536 38354048 57531072 76708096 115062144 153416192 230124288 306832384 460248576 920497152