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45998496 = 253353239
BaseRepresentation
bin1010111101111…
…0000110100000
310012112222002000
42233132012200
543233422441
64321524000
71065660255
oct257360640
9105488060
1045998496
1123a68395
12134a3600
1396b6c5b
14617542c
1540892b6
hex2bde1a0

45998496 has 48 divisors (see below), whose sum is σ = 134164800. Its totient is φ = 15332544.

The previous prime is 45998489. The next prime is 45998503. The reversal of 45998496 is 69489954.

45998496 is a `hidden beast` number, since 4 + 599 + 8 + 49 + 6 = 666.

45998496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45998489) and next prime (45998503).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25756 + ... + 27483.

It is an arithmetic number, because the mean of its divisors is an integer number (2795100).

Almost surely, 245998496 is an apocalyptic number.

It is an amenable number.

45998496 is an abundant number, since it is smaller than the sum of its proper divisors (88166304).

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

45998496 is a wasteful number, since it uses less digits than its factorization.

45998496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53258 (or 53244 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 45998496 is about 6782.2191058679. The cubic root of 45998496 is about 358.3008820561.

The spelling of 45998496 in words is "forty-five million, nine hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 53239 106478 159717 212956 319434 425912 479151 638868 851824 958302 1277736 1437453 1703648 1916604 2555472 2874906 3833208 5110944 5749812 7666416 11499624 15332832 22999248 45998496