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48666720 = 2535531913
BaseRepresentation
bin1011100110100…
…1100001100000
310101120112012010
42321221201200
544424313340
64455032520
71130442324
oct271514140
9111515163
1048666720
1125520033
121436b740
13a10c59b
14666b984
154414b80
hex2e69860

48666720 has 96 divisors (see below), whose sum is σ = 156274272. Its totient is φ = 12726272.

The previous prime is 48666707. The next prime is 48666721. The reversal of 48666720 is 2766684.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48666721) 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, 24484 + ... + 26396.

It is an arithmetic number, because the mean of its divisors is an integer number (1627857).

Almost surely, 248666720 is an apocalyptic number.

48666720 is a gapful number since it is divisible by the number (40) 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 48666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78137136).

48666720 is an abundant number, since it is smaller than the sum of its proper divisors (107607552).

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

48666720 is a wasteful number, since it uses less digits than its factorization.

48666720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 48666720 is about 6976.1536680323. The cubic root of 48666720 is about 365.0990411159.

The spelling of 48666720 in words is "forty-eight million, six hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 1913 2120 2544 3180 3826 4240 5088 5739 6360 7652 8480 9565 11478 12720 15304 19130 22956 25440 28695 30608 38260 45912 57390 61216 76520 91824 101389 114780 153040 183648 202778 229560 304167 306080 405556 459120 506945 608334 811112 918240 1013890 1216668 1520835 1622224 2027780 2433336 3041670 3244448 4055560 4866672 6083340 8111120 9733344 12166680 16222240 24333360 48666720