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45557376 = 273294091
BaseRepresentation
bin1010110111001…
…0011010000000
310011201112222020
42231302122000
543130314001
64304241440
71062142224
oct255623200
9104645866
1045557376
1123796a27
1213310280
139591237
14609c784
153eed736
hex2b72680

45557376 has 64 divisors (see below), whose sum is σ = 125215200. Its totient is φ = 14658560.

The previous prime is 45557371. The next prime is 45557401. The reversal of 45557376 is 67375554.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (45557371) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9091 + ... + 13181.

Almost surely, 245557376 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 45557376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62607600).

45557376 is an abundant number, since it is smaller than the sum of its proper divisors (79657824).

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

45557376 is a wasteful number, since it uses less digits than its factorization.

45557376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4125 counting only the distinct ones).

The product of its digits is 441000, while the sum is 42.

The square root of 45557376 is about 6749.6204337726. The cubic root of 45557376 is about 357.1518471489.

The spelling of 45557376 in words is "forty-five million, five hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 4091 5568 8182 11136 12273 16364 24546 32728 49092 65456 98184 118639 130912 196368 237278 261824 355917 392736 474556 523648 711834 785472 949112 1423668 1570944 1898224 2847336 3796448 5694672 7592896 11389344 15185792 22778688 45557376