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42960276 = 22321498009
BaseRepresentation
bin1010001111100…
…0010110010100
32222211121102100
42203320112110
541444212101
64132442100
71031104422
oct243702624
988747370
1042960276
1122282767
1212479330
138b920a8
1459c4112
153b88e86
hex28f8594

42960276 has 36 divisors (see below), whose sum is σ = 109336500. Its totient is φ = 14222208.

The previous prime is 42960259. The next prime is 42960277. The reversal of 42960276 is 67206924.

It is a happy number.

42960276 is a `hidden beast` number, since 42 + 9 + 602 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15397776 + 27562500 = 3924^2 + 5250^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42960276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42960277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1360 + ... + 9368.

It is an arithmetic number, because the mean of its divisors is an integer number (3037125).

Almost surely, 242960276 is an apocalyptic number.

It is an amenable number.

42960276 is an abundant number, since it is smaller than the sum of its proper divisors (66376224).

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

42960276 is a wasteful number, since it uses less digits than its factorization.

42960276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8163 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42960276 is about 6554.4088978336. The cubic root of 42960276 is about 350.2318898666.

The spelling of 42960276 in words is "forty-two million, nine hundred sixty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 8009 16018 24027 32036 48054 72081 96108 144162 288324 1193341 2386682 3580023 4773364 7160046 10740069 14320092 21480138 42960276