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52254864 = 24321971269
BaseRepresentation
bin1100011101010…
…1100010010000
310122022211012100
43013111202100
5101334123424
65104000400
71203105354
oct307254220
9118284170
1052254864
1127550942
1215600100
13aa9784c
146d23464
1548c2dc9
hex31d5890

52254864 has 120 divisors (see below), whose sum is σ = 156686400. Its totient is φ = 16208640.

The previous prime is 52254859. The next prime is 52254899. The reversal of 52254864 is 46845225.

It is a happy number.

52254864 is a `hidden beast` number, since 52 + 2 + 548 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 194122 + ... + 194390.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 252254864 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 52254864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78343200).

52254864 is an abundant number, since it is smaller than the sum of its proper divisors (104431536).

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

52254864 is a wasteful number, since it uses less digits than its factorization.

52254864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 52254864 is about 7228.7525894860. The cubic root of 52254864 is about 373.8599187519.

The spelling of 52254864 in words is "fifty-two million, two hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 71 72 76 114 142 144 152 171 213 228 269 284 304 342 426 456 538 568 639 684 807 852 912 1076 1136 1278 1349 1368 1614 1704 2152 2421 2556 2698 2736 3228 3408 4047 4304 4842 5111 5112 5396 6456 8094 9684 10222 10224 10792 12141 12912 15333 16188 19099 19368 20444 21584 24282 30666 32376 38198 38736 40888 45999 48564 57297 61332 64752 76396 81776 91998 97128 114594 122664 152792 171891 183996 194256 229188 245328 305584 343782 362881 367992 458376 687564 725762 735984 916752 1088643 1375128 1451524 2177286 2750256 2903048 3265929 4354572 5806096 6531858 8709144 13063716 17418288 26127432 52254864