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48301632 = 263283857
BaseRepresentation
bin1011100001000…
…0011001000000
310100212222101100
42320100121000
544331123012
64443134400
71124362041
oct270203100
9110788340
1048301632
11252a0805
1214214400
13a012362
1465b48c8
1543918dc
hex2e10640

48301632 has 42 divisors (see below), whose sum is σ = 138449558. Its totient is φ = 16100352.

The previous prime is 48301621. The next prime is 48301651. The reversal of 48301632 is 23610384.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 8156736 = 6336^2 + 2856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48301596 and 48301605.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41353 + ... + 42504.

Almost surely, 248301632 is an apocalyptic number.

It is an amenable number.

48301632 is an abundant number, since it is smaller than the sum of its proper divisors (90147926).

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

48301632 is a wasteful number, since it uses less digits than its factorization.

48301632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83875 (or 83862 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 48301632 is about 6949.9375536763. The cubic root of 48301632 is about 364.1837819271.

The spelling of 48301632 in words is "forty-eight million, three hundred one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 83857 167714 251571 335428 503142 670856 754713 1006284 1341712 1509426 2012568 2683424 3018852 4025136 5366848 6037704 8050272 12075408 16100544 24150816 48301632