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42689152 = 271130319
BaseRepresentation
bin1010001011011…
…0001010000000
32222022211111201
42202312022000
541412023102
64122550544
71025565112
oct242661200
988284451
1042689152
1122107aa0
1212368454
138ac886c
1459533b2
153b33987
hex28b6280

42689152 has 32 divisors (see below), whose sum is σ = 92779200. Its totient is φ = 19403520.

The previous prime is 42689149. The next prime is 42689161. The reversal of 42689152 is 25198624.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×426891523 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13752 + ... + 16567.

It is an arithmetic number, because the mean of its divisors is an integer number (2899350).

Almost surely, 242689152 is an apocalyptic number.

It is an amenable number.

42689152 is an abundant number, since it is smaller than the sum of its proper divisors (50090048).

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

42689152 is a wasteful number, since it uses less digits than its factorization.

42689152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30344 (or 30332 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 42689152 is about 6533.6935955094. The cubic root of 42689152 is about 349.4935587019.

The spelling of 42689152 in words is "forty-two million, six hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 30319 60638 121276 242552 333509 485104 667018 970208 1334036 1940416 2668072 3880832 5336144 10672288 21344576 42689152