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52946964 = 223271631289
BaseRepresentation
bin1100100111111…
…0100000010100
310200121222120200
43021332200110
5102023300324
65130500500
71212020220
oct311764024
9120558520
1052946964
1127983924
1215894730
13ac7a885
147063780
1549acec9
hex327e814

52946964 has 72 divisors (see below), whose sum is σ = 154015680. Its totient is φ = 15023232.

The previous prime is 52946921. The next prime is 52946969. The reversal of 52946964 is 46964925.

52946964 is a `hidden beast` number, since 529 + 4 + 69 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52946969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40432 + ... + 41720.

Almost surely, 252946964 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 52946964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77007840).

52946964 is an abundant number, since it is smaller than the sum of its proper divisors (101068716).

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

52946964 is a wasteful number, since it uses less digits than its factorization.

52946964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1464 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 52946964 is about 7276.4664501391. The cubic root of 52946964 is about 375.5032390325.

The spelling of 52946964 in words is "fifty-two million, nine hundred forty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 163 252 326 489 652 978 1141 1289 1467 1956 2282 2578 2934 3423 3867 4564 5156 5868 6846 7734 9023 10269 11601 13692 15468 18046 20538 23202 27069 36092 41076 46404 54138 81207 108276 162414 210107 324828 420214 630321 840428 1260642 1470749 1890963 2521284 2941498 3781926 4412247 5882996 7563852 8824494 13236741 17648988 26473482 52946964