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51402900 = 223521710079
BaseRepresentation
bin1100010000010…
…1100010010100
310120201112112010
43010011202110
5101124343100
65033424220
71162626453
oct304054224
9116645463
1051402900
112701983a
121526b070
13a859b23
146b80b9a
1547a5750
hex3105894

51402900 has 72 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 12899840.

The previous prime is 51402881. The next prime is 51402973. The reversal of 51402900 is 920415.

It is a congruent number.

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, 61 + ... + 10139.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 251402900 is an apocalyptic number.

51402900 is a gapful number since it is divisible by the number (50) 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 51402900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

51402900 is an abundant number, since it is smaller than the sum of its proper divisors (106087020).

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

51402900 is a wasteful number, since it uses less digits than its factorization.

51402900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10113 (or 10106 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 51402900 is about 7169.5815777492. The cubic root of 51402900 is about 371.8169697365.

The spelling of 51402900 in words is "fifty-one million, four hundred two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 10079 20158 30237 40316 50395 60474 100790 120948 151185 171343 201580 251975 302370 342686 503950 514029 604740 685372 755925 856715 1007900 1028058 1511850 1713430 2056116 2570145 3023700 3426860 4283575 5140290 8567150 10280580 12850725 17134300 25701450 51402900