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52495776 = 253543157
BaseRepresentation
bin1100100001000…
…0010110100000
310122210001200000
43020100112200
5101414331101
65113100000
71205130624
oct310202640
9118701600
1052495776
11276a5943
12156b7600
13ab503b8
146d87184
15491e486
hex32105a0

52495776 has 144 divisors (see below), whose sum is σ = 159423264. Its totient is φ = 16982784.

The previous prime is 52495769. The next prime is 52495789. The reversal of 52495776 is 67759425.

52495776 is a `hidden beast` number, since 524 + 9 + 57 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (529200) is a multiple of the sum of its prime factors (225).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334290 + ... + 334446.

It is an arithmetic number, because the mean of its divisors is an integer number (1107106).

Almost surely, 252495776 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 52495776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79711632).

52495776 is an abundant number, since it is smaller than the sum of its proper divisors (106927488).

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

52495776 is a wasteful number, since it uses less digits than its factorization.

52495776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 52495776 is about 7245.3968835392. The cubic root of 52495776 is about 374.4335768703.

It can be divided in two parts, 5249 and 5776, that added together give a square (11025 = 1052).

The spelling of 52495776 in words is "fifty-two million, four hundred ninety-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 157 162 172 216 243 258 288 314 324 344 387 432 471 486 516 628 648 688 774 864 942 972 1032 1161 1256 1296 1376 1413 1548 1884 1944 2064 2322 2512 2592 2826 3096 3483 3768 3888 4128 4239 4644 5024 5652 6192 6751 6966 7536 7776 8478 9288 10449 11304 12384 12717 13502 13932 15072 16956 18576 20253 20898 22608 25434 27004 27864 33912 37152 38151 40506 41796 45216 50868 54008 55728 60759 67824 76302 81012 83592 101736 108016 111456 121518 135648 152604 162024 167184 182277 203472 216032 243036 305208 324048 334368 364554 406944 486072 546831 610416 648096 729108 972144 1093662 1220832 1458216 1640493 1944288 2187324 2916432 3280986 4374648 5832864 6561972 8749296 13123944 17498592 26247888 52495776