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48326272 = 271931641
BaseRepresentation
bin1011100001011…
…0011010000000
310100221020011221
42320112122000
544332420042
64443444424
71124523631
oct270263200
9110836157
1048326272
1125308275
1214226714
13a020637
1465bd888
154398d67
hex2e16680

48326272 has 64 divisors (see below), whose sum is σ = 104774400. Its totient is φ = 22118400.

The previous prime is 48326237. The next prime is 48326309. The reversal of 48326272 is 27262384.

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

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, 75072 + ... + 75712.

It is an arithmetic number, because the mean of its divisors is an integer number (1637100).

Almost surely, 248326272 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 48326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52387200).

48326272 is an abundant number, since it is smaller than the sum of its proper divisors (56448128).

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

48326272 is a wasteful number, since it uses less digits than its factorization.

48326272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 693 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 48326272 is about 6951.7100054591. The cubic root of 48326272 is about 364.2456981438.

The spelling of 48326272 in words is "forty-eight million, three hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 304 496 589 608 641 992 1178 1216 1282 1984 2356 2432 2564 3968 4712 5128 9424 10256 12179 18848 19871 20512 24358 37696 39742 41024 48716 75392 79484 82048 97432 158968 194864 317936 377549 389728 635872 755098 779456 1271744 1510196 1558912 2543488 3020392 6040784 12081568 24163136 48326272