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45631488 = 211371061
BaseRepresentation
bin1010111000010…
…0100000000000
310011212022122010
42232010200000
543140201423
64310012520
71062601260
oct256044000
9104768563
1045631488
1123837681
1213347140
1395b8ba6
1460bb7a0
154015693
hex2b84800

45631488 has 96 divisors (see below), whose sum is σ = 139164480. Its totient is φ = 13025280.

The previous prime is 45631459. The next prime is 45631499. The reversal of 45631488 is 88413654.

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

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 7 ways as a sum of consecutive naturals, for example, 42478 + ... + 43538.

It is an arithmetic number, because the mean of its divisors is an integer number (1449630).

Almost surely, 245631488 is an apocalyptic number.

45631488 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 45631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69582240).

45631488 is an abundant number, since it is smaller than the sum of its proper divisors (93532992).

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

45631488 is a wasteful number, since it uses less digits than its factorization.

45631488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1073 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 45631488 is about 6755.1082892874. The cubic root of 45631488 is about 357.3454118340.

The spelling of 45631488 in words is "forty-five million, six hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1061 1344 1536 1792 2048 2122 2688 3072 3183 3584 4244 5376 6144 6366 7168 7427 8488 10752 12732 14336 14854 16976 21504 22281 25464 29708 33952 43008 44562 50928 59416 67904 89124 101856 118832 135808 178248 203712 237664 271616 356496 407424 475328 543232 712992 814848 950656 1086464 1425984 1629696 1901312 2172928 2851968 3259392 3802624 5703936 6518784 7605248 11407872 15210496 22815744 45631488