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52251456 = 263713833
BaseRepresentation
bin1100011101010…
…0101101000000
310122022122112010
43013110231000
5101334021311
65103532520
71203062415
oct307245500
9118278463
1052251456
1127549324
12155ba140
13aa9612a
146d2210c
1548c1da6
hex31d4b40

52251456 has 56 divisors (see below), whose sum is σ = 140232384. Its totient is φ = 17167360.

The previous prime is 52251449. The next prime is 52251457. The reversal of 52251456 is 65415225.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52251457) 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 7 ways as a sum of consecutive naturals, for example, 11716 + ... + 15548.

Almost surely, 252251456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70116192).

52251456 is an abundant number, since it is smaller than the sum of its proper divisors (87980928).

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

52251456 is a wasteful number, since it uses less digits than its factorization.

52251456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3909 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 52251456 is about 7228.5168603248. The cubic root of 52251456 is about 373.8517910090.

The spelling of 52251456 in words is "fifty-two million, two hundred fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 3833 4544 6816 7666 11499 13632 15332 22998 30664 45996 61328 91992 122656 183984 245312 272143 367968 544286 735936 816429 1088572 1632858 2177144 3265716 4354288 6531432 8708576 13062864 17417152 26125728 52251456