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45444352 = 28199343
BaseRepresentation
bin1010110101011…
…0110100000000
310011111210221011
42231112310000
543113204402
64302010304
71061161552
oct255266400
9104453834
1045444352
112371a018
1213276994
139551965
14606d4d2
153ec9ed7
hex2b56d00

45444352 has 36 divisors (see below), whose sum is σ = 95495680. Its totient is φ = 21523968.

The previous prime is 45444319. The next prime is 45444361. The reversal of 45444352 is 25344454.

It is a hoax number, since the sum of its digits (31) 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193 + ... + 9535.

Almost surely, 245444352 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 45444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47747840).

45444352 is an abundant number, since it is smaller than the sum of its proper divisors (50051328).

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

45444352 is an equidigital number, since it uses as much as digits as its factorization.

45444352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9364 counting only the distinct ones).

The product of its digits is 38400, while the sum is 31.

The square root of 45444352 is about 6741.2426154234. The cubic root of 45444352 is about 356.8562480447.

It can be divided in two parts, 45444 and 352, that added together give a square (45796 = 2142).

The spelling of 45444352 in words is "forty-five million, four hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864 9343 18686 37372 74744 149488 177517 298976 355034 597952 710068 1195904 1420136 2391808 2840272 5680544 11361088 22722176 45444352