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48561264 = 24321917749
BaseRepresentation
bin1011100100111…
…1110001110000
310101101011112100
42321033301300
544412430024
64452500400
71126523013
oct271176160
9111334470
1048561264
1125458884
121431a700
13a0a359b
14664137a
1543e37c9
hex2e4fc70

48561264 has 60 divisors (see below), whose sum is σ = 143065000. Its totient is φ = 15334272.

The previous prime is 48561251. The next prime is 48561269. The reversal of 48561264 is 46216584.

It is a super-2 number, since 2×485612642 = 4716392722555392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48561269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6139 + ... + 11610.

Almost surely, 248561264 is an apocalyptic number.

It is an amenable number.

48561264 is an abundant number, since it is smaller than the sum of its proper divisors (94503736).

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

48561264 is a wasteful number, since it uses less digits than its factorization.

48561264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17782 (or 17773 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 48561264 is about 6968.5912493129. The cubic root of 48561264 is about 364.8351391590.

The spelling of 48561264 in words is "forty-eight million, five hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 17749 35498 53247 70996 106494 141992 159741 212988 283984 319482 337231 425976 638964 674462 851952 1011693 1277928 1348924 2023386 2555856 2697848 3035079 4046772 5395696 6070158 8093544 12140316 16187088 24280632 48561264