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51142312 = 23132931547
BaseRepresentation
bin1100001100010…
…1111010101000
310120020022001201
43003011322220
5101043023222
65024053544
71160462644
oct303057250
9116208051
1051142312
1126960a81
12151642b4
13a798330
146b13c24
154753427
hex30c5ea8

51142312 has 64 divisors (see below), whose sum is σ = 110476800. Its totient is φ = 22014720.

The previous prime is 51142303. The next prime is 51142361. The reversal of 51142312 is 21324115.

51142312 = T218 + T219 + ... + T681.

It is a self number, because there is not a number n which added to its sum of digits gives 51142312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93223 + ... + 93769.

It is an arithmetic number, because the mean of its divisors is an integer number (1726200).

Almost surely, 251142312 is an apocalyptic number.

51142312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55238400).

51142312 is an abundant number, since it is smaller than the sum of its proper divisors (59334488).

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

51142312 is a wasteful number, since it uses less digits than its factorization.

51142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 622 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 51142312 is about 7151.3853203418. The cubic root of 51142312 is about 371.1875938742.

Adding to 51142312 its reverse (21324115), we get a palindrome (72466427).

The spelling of 51142312 in words is "fifty-one million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 29 31 52 58 62 104 116 124 232 248 377 403 547 754 806 899 1094 1508 1612 1798 2188 3016 3224 3596 4376 7111 7192 11687 14222 15863 16957 23374 28444 31726 33914 46748 56888 63452 67828 93496 126904 135656 206219 220441 412438 440882 491753 824876 881764 983506 1649752 1763528 1967012 3934024 6392789 12785578 25571156 51142312