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151044992 = 277295813
BaseRepresentation
bin10010000000011…
…00001110000000
3101112012212202222
421000030032000
5302131414432
622553230212
73512601260
oct1100141600
9345185688
10151044992
117829637a
1242702368
13253a6747
14160bb7a0
15d3d9112
hex900c380

151044992 has 64 divisors (see below), whose sum is σ = 355816800. Its totient is φ = 62490624.

The previous prime is 151044991. The next prime is 151044997. The reversal of 151044992 is 299440151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151044991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23078 + ... + 28890.

Almost surely, 2151044992 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 151044992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177908400).

151044992 is an abundant number, since it is smaller than the sum of its proper divisors (204771808).

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

151044992 is an equidigital number, since it uses as much as digits as its factorization.

151044992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 151044992 is about 12290.0362896128. The cubic root of 151044992 is about 532.5602855917.

The spelling of 151044992 in words is "one hundred fifty-one million, forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 5813 6496 11626 12992 23252 25984 40691 46504 81382 93008 162764 168577 186016 325528 337154 372032 651056 674308 744064 1180039 1302112 1348616 2360078 2604224 2697232 4720156 5208448 5394464 9440312 10788928 18880624 21577856 37761248 75522496 151044992