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42631264 = 251327883
BaseRepresentation
bin1010001010100…
…0000001100000
32222012220002201
42202220001200
541403200024
64121422544
71025234254
oct242500140
988186081
1042631264
1122078555
121233aa54
138aa8400
14593a264
153b21744
hex28a8060

42631264 has 36 divisors (see below), whose sum is σ = 90894636. Its totient is φ = 19673472.

The previous prime is 42631243. The next prime is 42631271. The reversal of 42631264 is 46213624.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1467 + ... + 9349.

It is an arithmetic number, because the mean of its divisors is an integer number (2524851).

Almost surely, 242631264 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 42631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45447318).

42631264 is an abundant number, since it is smaller than the sum of its proper divisors (48263372).

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

42631264 is a wasteful number, since it uses less digits than its factorization.

42631264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7919 (or 7898 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 42631264 is about 6529.2621328907. The cubic root of 42631264 is about 349.3355120325.

Adding to 42631264 its reverse (46213624), we get a palindrome (88844888).

The spelling of 42631264 in words is "forty-two million, six hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 7883 15766 31532 63064 102479 126128 204958 252256 409916 819832 1332227 1639664 2664454 3279328 5328908 10657816 21315632 42631264