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48280464 = 2432335281
BaseRepresentation
bin1011100000101…
…1001110010000
310100211220100100
42320023032100
544324433324
64442452400
71124243241
oct270131620
9110756310
1048280464
1125286911
1214204100
13a00582b
1465aacc8
15438a4c9
hex2e0b390

48280464 has 30 divisors (see below), whose sum is σ = 135118646. Its totient is φ = 16093440.

The previous prime is 48280457. The next prime is 48280469. The reversal of 48280464 is 46408284.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 6290064 = 6480^2 + 2508^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48280469) 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 5 ways as a sum of consecutive naturals, for example, 167497 + ... + 167784.

Almost surely, 248280464 is an apocalyptic number.

It is an amenable number.

48280464 is an abundant number, since it is smaller than the sum of its proper divisors (86838182).

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

48280464 is a wasteful number, since it uses less digits than its factorization.

48280464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335295 (or 335286 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48280464 is about 6948.4144954083. The cubic root of 48280464 is about 364.1305734508.

The spelling of 48280464 in words is "forty-eight million, two hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 335281 670562 1005843 1341124 2011686 2682248 3017529 4023372 5364496 6035058 8046744 12070116 16093488 24140232 48280464