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51151672 = 23111361733
BaseRepresentation
bin1100001100100…
…0001100111000
310120020202220101
43003020030320
5101043323142
65024205144
71160532145
oct303101470
9116222811
1051151672
1126968010
12151697b4
13a79c680
146b173cc
1547560b7
hex30c8338

51151672 has 64 divisors (see below), whose sum is σ = 114680160. Its totient is φ = 21081600.

The previous prime is 51151613. The next prime is 51151687. The reversal of 51151672 is 27615115.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 51151672.

It is a congruent number.

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, 69418 + ... + 70150.

Almost surely, 251151672 is an apocalyptic number.

51151672 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 51151672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57340080).

51151672 is an abundant number, since it is smaller than the sum of its proper divisors (63528488).

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

51151672 is a wasteful number, since it uses less digits than its factorization.

51151672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its digits is 2100, while the sum is 28.

The square root of 51151672 is about 7152.0397090620. The cubic root of 51151672 is about 371.2102372511.

Adding to 51151672 its reverse (27615115), we get a palindrome (78766787).

The spelling of 51151672 in words is "fifty-one million, one hundred fifty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 61 88 104 122 143 244 286 488 572 671 733 793 1144 1342 1466 1586 2684 2932 3172 5368 5864 6344 8063 8723 9529 16126 17446 19058 32252 34892 38116 44713 64504 69784 76232 89426 104819 178852 209638 357704 419276 491843 581269 838552 983686 1162538 1967372 2325076 3934744 4650152 6393959 12787918 25575836 51151672