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42315264 = 29333061
BaseRepresentation
bin1010000101101…
…0111000000000
32221121211122000
42201122320000
541313042024
64110544000
71022450055
oct241327000
987554560
1042315264
11219820a2
1212208000
1389c7624
14589702c
153aaccc9
hex285ae00

42315264 has 80 divisors (see below), whose sum is σ = 125297040. Its totient is φ = 14100480.

The previous prime is 42315241. The next prime is 42315269. The reversal of 42315264 is 46251324.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42315269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12294 + ... + 15354.

It is an arithmetic number, because the mean of its divisors is an integer number (1566213).

Almost surely, 242315264 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 42315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62648520).

42315264 is an abundant number, since it is smaller than the sum of its proper divisors (82981776).

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

42315264 is an equidigital number, since it uses as much as digits as its factorization.

42315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3066 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42315264 is about 6505.0183704583. The cubic root of 42315264 is about 348.4702323302.

Adding to 42315264 its reverse (46251324), we get a palindrome (88566588).

The spelling of 42315264 in words is "forty-two million, three hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3061 3456 4608 6122 6912 9183 12244 13824 18366 24488 27549 36732 48976 55098 73464 82647 97952 110196 146928 165294 195904 220392 293856 330588 391808 440784 587712 661176 783616 881568 1175424 1322352 1567232 1763136 2350848 2644704 3526272 4701696 5289408 7052544 10578816 14105088 21157632 42315264