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48431232 = 2732172473
BaseRepresentation
bin1011100011000…
…0000010000000
310101010120011100
42320300002000
544344244412
64450014400
71125441633
oct270600200
9111116140
1048431232
112537a113
1214277400
13a059345
146609c1a
1543b9edc
hex2e30080

48431232 has 96 divisors (see below), whose sum is σ = 147623580. Its totient is φ = 15187968.

The previous prime is 48431183. The next prime is 48431263. The reversal of 48431232 is 23213484.

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 3594816 = 6696^2 + 1896^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48431196 and 48431205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18348 + ... + 20820.

Almost surely, 248431232 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 48431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73811790).

48431232 is an abundant number, since it is smaller than the sum of its proper divisors (99192348).

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

48431232 is a wasteful number, since it uses less digits than its factorization.

48431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2495 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 48431232 is about 6959.2551325555. The cubic root of 48431232 is about 364.5092096326.

The spelling of 48431232 in words is "forty-eight million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 2473 3264 4896 4946 6528 7419 9792 9892 14838 19584 19784 22257 29676 39568 42041 44514 59352 79136 84082 89028 118704 126123 158272 168164 178056 237408 252246 316544 336328 356112 378369 474816 504492 672656 712224 756738 949632 1008984 1345312 1424448 1513476 2017968 2690624 2848896 3026952 4035936 5381248 6053904 8071872 12107808 16143744 24215616 48431232