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51188536 = 2372671949
BaseRepresentation
bin1100001101000…
…1001100111000
310120022122110201
43003101030320
5101101013121
65025051544
71161044500
oct303211470
9116278421
1051188536
1126992783
1215186bb4
13a7b3399
146b26a00
154761e91
hex30d1338

51188536 has 48 divisors (see below), whose sum is σ = 113373000. Its totient is φ = 21599424.

The previous prime is 51188519. The next prime is 51188537. The reversal of 51188536 is 63588115.

It is a junction number, because it is equal to n+sod(n) for n = 51188495 and 51188504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51188537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25290 + ... + 27238.

Almost surely, 251188536 is an apocalyptic number.

51188536 is a gapful number since it is divisible by the number (56) 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 51188536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56686500).

51188536 is an abundant number, since it is smaller than the sum of its proper divisors (62184464).

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

51188536 is a wasteful number, since it uses less digits than its factorization.

51188536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2025 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The square root of 51188536 is about 7154.6164118001. The cubic root of 51188536 is about 371.2993904670.

The spelling of 51188536 in words is "fifty-one million, one hundred eighty-eight thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 67 98 134 196 268 392 469 536 938 1876 1949 3283 3752 3898 6566 7796 13132 13643 15592 26264 27286 54572 95501 109144 130583 191002 261166 382004 522332 764008 914081 1044664 1828162 3656324 6398567 7312648 12797134 25594268 51188536