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100553992 = 23711239683
BaseRepresentation
bin1011111111001…
…01010100001000
321000012200010221
411333211110020
5201220211432
613551115424
72330460220
oct577452410
9230180127
10100553992
115183a780
1229812b74
1317aa8a06
14d4d7080
158c63b97
hex5fe5508

100553992 has 64 divisors (see below), whose sum is σ = 236390400. Its totient is φ = 38955840.

The previous prime is 100553977. The next prime is 100554011. The reversal of 100553992 is 299355001.

It is a happy number.

It is a super-2 number, since 2×1005539922 = 20222210614272128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146883 + ... + 147565.

It is an arithmetic number, because the mean of its divisors is an integer number (3693600).

Almost surely, 2100553992 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 100553992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118195200).

100553992 is an abundant number, since it is smaller than the sum of its proper divisors (135836408).

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

100553992 is a wasteful number, since it uses less digits than its factorization.

100553992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 34.

The square root of 100553992 is about 10027.6613425065. The cubic root of 100553992 is about 465.0144397566.

The spelling of 100553992 in words is "one hundred million, five hundred fifty-three thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 239 308 478 616 683 956 1366 1673 1912 2629 2732 3346 4781 5258 5464 6692 7513 9562 10516 13384 15026 18403 19124 21032 30052 36806 38248 52591 60104 73612 105182 147224 163237 210364 326474 420728 652948 1142659 1305896 1795607 2285318 3591214 4570636 7182428 9141272 12569249 14364856 25138498 50276996 100553992