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63387152 = 2417534397
BaseRepresentation
bin1111000111001…
…1011000010000
311102021101211022
43301303120100
5112211342102
610142335012
71366532123
oct361633020
9142241738
1063387152
1132864784
121928a468
13101948ba
1485c03ba
1558715a2
hex3c73610

63387152 has 40 divisors (see below), whose sum is σ = 132520536. Its totient is φ = 29259776.

The previous prime is 63387119. The next prime is 63387187. The reversal of 63387152 is 25178336.

It can be written as a sum of positive squares in 4 ways, for example, as 22886656 + 40500496 = 4784^2 + 6364^2 .

It is a super-2 number, since 2×633871522 = 8035862077342208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12218 + ... + 16614.

Almost surely, 263387152 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 63387152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66260268).

63387152 is an abundant number, since it is smaller than the sum of its proper divisors (69133384).

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

63387152 is a wasteful number, since it uses less digits than its factorization.

63387152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4469 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 63387152 is about 7961.6048633426. The cubic root of 63387152 is about 398.7191361809.

The spelling of 63387152 in words is "sixty-three million, three hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1802 3604 4397 7208 8794 14416 17588 35176 70352 74749 149498 233041 298996 466082 597992 932164 1195984 1864328 3728656 3961697 7923394 15846788 31693576 63387152