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52459840 = 265295653
BaseRepresentation
bin1100100000011…
…1100101000000
310122201020101001
43020013211000
5101412203330
65112221344
71204621066
oct310074500
9118636331
1052459840
1127680944
121569a854
13ab39c34
146d78036
1549139ca
hex3207940

52459840 has 56 divisors (see below), whose sum is σ = 129250440. Its totient is φ = 20256768.

The previous prime is 52459837. The next prime is 52459879. The reversal of 52459840 is 4895425.

It can be written as a sum of positive squares in 4 ways, for example, as 11397376 + 41062464 = 3376^2 + 6408^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 52459840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6454 + ... + 12106.

Almost surely, 252459840 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 52459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64625220).

52459840 is an abundant number, since it is smaller than the sum of its proper divisors (76790600).

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

52459840 is a wasteful number, since it uses less digits than its factorization.

52459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 52459840 is about 7242.9165396268. The cubic root of 52459840 is about 374.3481178260.

The spelling of 52459840 in words is "fifty-two million, four hundred fifty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 5653 9280 11306 22612 28265 45224 56530 90448 113060 163937 180896 226120 327874 361792 452240 655748 819685 904480 1311496 1639370 1808960 2622992 3278740 5245984 6557480 10491968 13114960 26229920 52459840