Search a number
-
+
52758864 = 243440709
BaseRepresentation
bin1100100101000…
…0100101010000
310200021102120000
43021100211100
5102001240424
65122450000
71210304634
oct311204520
9120242500
1052758864
1127865574
1215803900
13ac13082
147014dc4
1549723c9
hex3250950

52758864 has 50 divisors (see below), whose sum is σ = 152703210. Its totient is φ = 17585856.

The previous prime is 52758851. The next prime is 52758907. The reversal of 52758864 is 46885725.

52758864 is a `hidden beast` number, since 5 + 2 + 7 + 588 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41062464 + 11696400 = 6408^2 + 3420^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19059 + ... + 21650.

Almost surely, 252758864 is an apocalyptic number.

52758864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

52758864 is an abundant number, since it is smaller than the sum of its proper divisors (99944346).

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

52758864 is a wasteful number, since it uses less digits than its factorization.

52758864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40729 (or 40714 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 52758864 is about 7263.5297204596. The cubic root of 52758864 is about 375.0580390168.

The spelling of 52758864 in words is "fifty-two million, seven hundred fifty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 40709 81418 122127 162836 244254 325672 366381 488508 651344 732762 977016 1099143 1465524 1954032 2198286 2931048 3297429 4396572 5862096 6594858 8793144 13189716 17586288 26379432 52758864