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48667008 = 273139749
BaseRepresentation
bin1011100110100…
…1100110000000
310101120112120210
42321221212000
544424321013
64455034120
71130443215
oct271514600
9111515523
1048667008
1125520275
121436b940
13a10c760
14666bb0c
154414cc3
hex2e69980

48667008 has 64 divisors (see below), whose sum is σ = 139230000. Its totient is φ = 14972928.

The previous prime is 48667001. The next prime is 48667027. The reversal of 48667008 is 80076684.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48667001) 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 7 ways as a sum of consecutive naturals, for example, 118 + ... + 9866.

Almost surely, 248667008 is an apocalyptic number.

48667008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48667008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69615000).

48667008 is an abundant number, since it is smaller than the sum of its proper divisors (90562992).

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

48667008 is a wasteful number, since it uses less digits than its factorization.

48667008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9779 (or 9767 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 48667008 is about 6976.1743097489. The cubic root of 48667008 is about 365.0997613091.

The spelling of 48667008 in words is "forty-eight million, six hundred sixty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 9749 19498 29247 38996 58494 77992 116988 126737 155984 233976 253474 311968 380211 467952 506948 623936 760422 935904 1013896 1247872 1520844 1871808 2027792 3041688 3743616 4055584 6083376 8111168 12166752 16222336 24333504 48667008