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52964340 = 223511136173
BaseRepresentation
bin1100101000001…
…0101111110100
310200122212102020
43022002233310
5102024324330
65131113140
71212121662
oct312025764
9120585366
1052964340
1127995990
12158a27b0
13ac85760
147069c32
1549b3210
hex3282bf4

52964340 has 96 divisors (see below), whose sum is σ = 174254976. Its totient is φ = 11850240.

The previous prime is 52964323. The next prime is 52964341. The reversal of 52964340 is 4346925.

52964340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52964341) 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 31 ways as a sum of consecutive naturals, for example, 5494 + ... + 11666.

It is an arithmetic number, because the mean of its divisors is an integer number (1815156).

Almost surely, 252964340 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 52964340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87127488).

52964340 is an abundant number, since it is smaller than the sum of its proper divisors (121290636).

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

52964340 is a wasteful number, since it uses less digits than its factorization.

52964340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6207 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 52964340 is about 7277.6603383230. The cubic root of 52964340 is about 375.5443117725.

The spelling of 52964340 in words is "fifty-two million, nine hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 6173 8580 12346 18519 24692 30865 37038 61730 67903 74076 80249 92595 123460 135806 160498 185190 203709 240747 271612 320996 339515 370380 401245 407418 481494 679030 802490 814836 882739 962988 1018545 1203735 1358060 1604980 1765478 2037090 2407470 2648217 3530956 4074180 4413695 4814940 5296434 8827390 10592868 13241085 17654780 26482170 52964340