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48453672 = 233171031153
BaseRepresentation
bin1011100011010…
…1100000101000
310101011200221110
42320311200220
544401004142
64450310320
71125564231
oct270654050
9111150843
1048453672
1125394a63
12142883a0
13a066617
146614088
1543c199c
hex2e35828

48453672 has 64 divisors (see below), whose sum is σ = 129617280. Its totient is φ = 15040512.

The previous prime is 48453653. The next prime is 48453679. The reversal of 48453672 is 27635484.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 48453672.

It is not an unprimeable number, because it can be changed into a prime (48453679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41448 + ... + 42600.

It is an arithmetic number, because the mean of its divisors is an integer number (2025270).

Almost surely, 248453672 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 48453672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64808640).

48453672 is an abundant number, since it is smaller than the sum of its proper divisors (81163608).

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

48453672 is a wasteful number, since it uses less digits than its factorization.

48453672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1278 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 48453672 is about 6960.8671873553. The cubic root of 48453672 is about 364.5654978537.

The spelling of 48453672 in words is "forty-eight million, four hundred fifty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 103 136 204 206 309 408 412 618 824 1153 1236 1751 2306 2472 3459 3502 4612 5253 6918 7004 9224 10506 13836 14008 19601 21012 27672 39202 42024 58803 78404 117606 118759 156808 235212 237518 356277 470424 475036 712554 950072 1425108 2018903 2850216 4037806 6056709 8075612 12113418 16151224 24226836 48453672