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51284100 = 22352724421
BaseRepresentation
bin1100001110100…
…0100010000100
310120111111120010
43003220202010
5101112042400
65031110220
71161623220
oct303504204
9116444503
1051284100
1126a4855a
1215212370
13a817a2a
146b4d780
154780450
hex30e8884

51284100 has 72 divisors (see below), whose sum is σ = 169586368. Its totient is φ = 11721600.

The previous prime is 51284047. The next prime is 51284131. The reversal of 51284100 is 148215.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10111 + ... + 14310.

Almost surely, 251284100 is an apocalyptic number.

51284100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51284100 is an abundant number, since it is smaller than the sum of its proper divisors (118302268).

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

51284100 is a wasteful number, since it uses less digits than its factorization.

51284100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24445 (or 24438 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 51284100 is about 7161.2917829118. The cubic root of 51284100 is about 371.5303067332.

The spelling of 51284100 in words is "fifty-one million, two hundred eighty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 24421 48842 73263 97684 122105 146526 170947 244210 293052 341894 366315 488420 512841 610525 683788 732630 854735 1025682 1221050 1465260 1709470 1831575 2051364 2442100 2564205 3418940 3663150 4273675 5128410 7326300 8547350 10256820 12821025 17094700 25642050 51284100