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45291961 = 11131731601
BaseRepresentation
bin1010110011000…
…1100110111001
310011020001220001
42230301212321
543043320321
64254433001
71056655351
oct254614671
9104201801
1045291961
1123625580
1213202761
1394ca4a0
14602db61
153e99c91
hex2b319b9

45291961 has 32 divisors (see below), whose sum is σ = 58254336. Its totient is φ = 34560000.

The previous prime is 45291937. The next prime is 45291989. The reversal of 45291961 is 16919254.

It is a 4-Lehmer number, since φ(45291961) divides (45291961-1)4.

It is a cyclic number.

It is not a de Polignac number, because 45291961 - 25 = 45291929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45291961.

It is not an unprimeable number, because it can be changed into a prime (45294961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75061 + ... + 75661.

It is an arithmetic number, because the mean of its divisors is an integer number (1820448).

Almost surely, 245291961 is an apocalyptic number.

It is an amenable number.

45291961 is a deficient number, since it is larger than the sum of its proper divisors (12962375).

45291961 is a wasteful number, since it uses less digits than its factorization.

45291961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673.

The product of its digits is 19440, while the sum is 37.

The square root of 45291961 is about 6729.9302373799. The cubic root of 45291961 is about 356.4569128974.

The spelling of 45291961 in words is "forty-five million, two hundred ninety-one thousand, nine hundred sixty-one".

Divisors: 1 11 13 17 31 143 187 221 341 403 527 601 2431 4433 5797 6611 6851 7813 10217 18631 75361 85943 112387 132821 204941 242203 316727 1461031 2664233 3483997 4117451 45291961