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48145728 = 263318089
BaseRepresentation
bin1011011110101…
…0010101000000
310100121001112010
42313222111000
544311130403
64435532520
71123142361
oct267522500
9110531463
1048145728
11251a4664
121415a140
139c893c7
146573b68
154360603
hex2dea540

48145728 has 56 divisors (see below), whose sum is σ = 131511040. Its totient is φ = 15528960.

The previous prime is 48145709. The next prime is 48145733. The reversal of 48145728 is 82754184.

It is a happy number.

It is a super-2 number, since 2×481457282 = 4636022249299968, which contains 22 as substring.

It is a congruent number.

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, 1908 + ... + 9996.

Almost surely, 248145728 is an apocalyptic number.

48145728 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 48145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65755520).

48145728 is an abundant number, since it is smaller than the sum of its proper divisors (83365312).

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

48145728 is a wasteful number, since it uses less digits than its factorization.

48145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8135 (or 8125 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 48145728 is about 6938.7122724609. The cubic root of 48145728 is about 363.7915322023.

The spelling of 48145728 in words is "forty-eight million, one hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 8089 16178 24267 32356 48534 64712 97068 129424 194136 250759 258848 388272 501518 517696 752277 776544 1003036 1504554 1553088 2006072 3009108 4012144 6018216 8024288 12036432 16048576 24072864 48145728