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52035840 = 283254517
BaseRepresentation
bin1100011010000…
…0000100000000
310121220200202100
43012200010000
5101310121330
65055150400
71201203663
oct306400400
9117820670
1052035840
112741132a
1215515400
13aa1bc4c
146ca76da
15487d060
hex31a0100

52035840 has 108 divisors (see below), whose sum is σ = 180078444. Its totient is φ = 13873152.

The previous prime is 52035839. The next prime is 52035859. The reversal of 52035840 is 4853025.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 45805824 = 2496^2 + 6768^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9262 + ... + 13778.

It is an arithmetic number, because the mean of its divisors is an integer number (1667393).

Almost surely, 252035840 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 52035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90039222).

52035840 is an abundant number, since it is smaller than the sum of its proper divisors (128042604).

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

52035840 is a wasteful number, since it uses less digits than its factorization.

52035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52035840 is about 7213.5871797602. The cubic root of 52035840 is about 373.3368480395.

Adding to 52035840 its reverse (4853025), we get a palindrome (56888865).

The spelling of 52035840 in words is "fifty-two million, thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 4517 5760 9034 11520 13551 18068 22585 27102 36136 40653 45170 54204 67755 72272 81306 90340 108408 135510 144544 162612 180680 203265 216816 271020 289088 325224 361360 406530 433632 542040 578176 650448 722720 813060 867264 1084080 1156352 1300896 1445440 1626120 1734528 2168160 2601792 2890880 3252240 3469056 4336320 5203584 5781760 6504480 8672640 10407168 13008960 17345280 26017920 52035840