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45792276 = 22329181727
BaseRepresentation
bin1010111010101…
…1110000010100
310012011111012020
42232223300110
543210323101
64313253140
71064141115
oct256536024
9105144166
1045792276
1123937462
12134041b0
13964412a
14612020c
154048136
hex2babc14

45792276 has 48 divisors (see below), whose sum is σ = 111296640. Its totient is φ = 14636160.

The previous prime is 45792269. The next prime is 45792283. The reversal of 45792276 is 67229754.

45792276 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 (45792269) and next prime (45792283).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 62625 + ... + 63351.

It is an arithmetic number, because the mean of its divisors is an integer number (2318680).

Almost surely, 245792276 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 45792276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55648320).

45792276 is an abundant number, since it is smaller than the sum of its proper divisors (65504364).

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

45792276 is a wasteful number, since it uses less digits than its factorization.

45792276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 942 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 45792276 is about 6766.9990394561. Note that the first 3 decimals coincide. The cubic root of 45792276 is about 357.7646362411.

The spelling of 45792276 in words is "forty-five million, seven hundred ninety-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 181 348 362 543 724 727 1086 1454 2172 2181 2908 4362 5249 8724 10498 15747 20996 21083 31494 42166 62988 63249 84332 126498 131587 252996 263174 394761 526348 789522 1579044 3816023 7632046 11448069 15264092 22896138 45792276