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45877072 = 242998873
BaseRepresentation
bin1010111100000…
…0011101010000
310012022210111211
42233000131100
543221031242
64315145504
71064643253
oct257003520
9105283454
1045877072
112399513a
1213445294
1396738c7
14614309a
154063317
hex2bc0750

45877072 has 20 divisors (see below), whose sum is σ = 91952820. Its totient is φ = 22147328.

The previous prime is 45877057. The next prime is 45877093. The reversal of 45877072 is 27077854.

It can be written as a sum of positive squares in 2 ways, for example, as 31315216 + 14561856 = 5596^2 + 3816^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 48973 + ... + 49900.

It is an arithmetic number, because the mean of its divisors is an integer number (4597641).

Almost surely, 245877072 is an apocalyptic number.

It is an amenable number.

45877072 is an abundant number, since it is smaller than the sum of its proper divisors (46075748).

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

45877072 is a wasteful number, since it uses less digits than its factorization.

45877072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98910 (or 98904 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 40.

The square root of 45877072 is about 6773.2615481760. The cubic root of 45877072 is about 357.9853306932.

The spelling of 45877072 in words is "forty-five million, eight hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 98873 197746 395492 790984 1581968 2867317 5734634 11469268 22938536 45877072