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51204972 = 22371323607
BaseRepresentation
bin1100001101010…
…1001101101100
310120100111000110
43003111031230
5101102024342
65025300020
71161143430
oct303251554
9116314013
1051204972
11269a4065
1215194610
13a7baa00
146b2c9c0
154766c9c
hex30d536c

51204972 has 72 divisors (see below), whose sum is σ = 147899136. Its totient is φ = 13500864.

The previous prime is 51204971. The next prime is 51204977. The reversal of 51204972 is 27940215.

51204972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51204971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12393 + ... + 15999.

Almost surely, 251204972 is an apocalyptic number.

51204972 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 51204972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73949568).

51204972 is an abundant number, since it is smaller than the sum of its proper divisors (96694164).

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

51204972 is a wasteful number, since it uses less digits than its factorization.

51204972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 51204972 is about 7155.7649486271. The cubic root of 51204972 is about 371.3391260810.

The spelling of 51204972 in words is "fifty-one million, two hundred four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 3607 4732 7098 7214 10821 14196 14428 21642 25249 43284 46891 50498 75747 93782 100996 140673 151494 187564 281346 302988 328237 562692 609583 656474 984711 1219166 1312948 1828749 1969422 2438332 3657498 3938844 4267081 7314996 8534162 12801243 17068324 25602486 51204972