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42837264 = 2432297481
BaseRepresentation
bin1010001101101…
…0010100010000
32222121100200100
42203122110100
541431243024
64130052400
71030052661
oct243322420
988540610
1042837264
11221a92a8
121241a100
138b4b0c2
145991368
153b627c9
hex28da510

42837264 has 30 divisors (see below), whose sum is σ = 119885246. Its totient is φ = 14279040.

The previous prime is 42837259. The next prime is 42837269. The reversal of 42837264 is 46273824.

It is an interprime number because it is at equal distance from previous prime (42837259) and next prime (42837269).

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 9659664 = 5760^2 + 3108^2 .

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 not an unprimeable number, because it can be changed into a prime (42837269) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148597 + ... + 148884.

Almost surely, 242837264 is an apocalyptic number.

It is an amenable number.

42837264 is an abundant number, since it is smaller than the sum of its proper divisors (77047982).

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

42837264 is a wasteful number, since it uses less digits than its factorization.

42837264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297495 (or 297486 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42837264 is about 6545.0182581869. The cubic root of 42837264 is about 349.8972868669.

The spelling of 42837264 in words is "forty-two million, eight hundred thirty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 297481 594962 892443 1189924 1784886 2379848 2677329 3569772 4759696 5354658 7139544 10709316 14279088 21418632 42837264