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52937664 = 26313127167
BaseRepresentation
bin1100100111110…
…0001111000000
310200121111211020
43021330033000
5102023001124
65130345440
71211651133
oct311741700
9120544736
1052937664
112797793a
121588b280
13ac76580
14706021a
1549aa379
hex327c3c0

52937664 has 112 divisors (see below), whose sum is σ = 152936448. Its totient is φ = 16063488.

The previous prime is 52937659. The next prime is 52937669. The reversal of 52937664 is 46673925.

It is an interprime number because it is at equal distance from previous prime (52937659) and next prime (52937669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52937669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316909 + ... + 317075.

It is an arithmetic number, because the mean of its divisors is an integer number (1365504).

Almost surely, 252937664 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 52937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76468224).

52937664 is an abundant number, since it is smaller than the sum of its proper divisors (99998784).

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

52937664 is a wasteful number, since it uses less digits than its factorization.

52937664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 52937664 is about 7275.8273756323. The cubic root of 52937664 is about 375.4812523478.

The spelling of 52937664 in words is "fifty-two million, nine hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 156 167 192 208 254 312 334 381 416 501 508 624 668 762 832 1002 1016 1248 1336 1524 1651 2004 2032 2171 2496 2672 3048 3302 4008 4064 4342 4953 5344 6096 6513 6604 8016 8128 8684 9906 10688 12192 13026 13208 16032 17368 19812 21209 24384 26052 26416 32064 34736 39624 42418 52104 52832 63627 69472 79248 84836 104208 105664 127254 138944 158496 169672 208416 254508 275717 316992 339344 416832 509016 551434 678688 827151 1018032 1102868 1357376 1654302 2036064 2205736 3308604 4072128 4411472 6617208 8822944 13234416 17645888 26468832 52937664