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45753376 = 254143811
BaseRepresentation
bin1010111010001…
…0010000100000
310012002111211111
42232202100200
543203102001
64312353104
71063616524
oct256422040
9105074744
1045753376
1123910209
12133a5794
13962c506
14610dd84
15403b851
hex2ba2420

45753376 has 48 divisors (see below), whose sum is σ = 94536288. Its totient is φ = 21772800.

The previous prime is 45753373. The next prime is 45753377. The reversal of 45753376 is 67335754.

It is not an unprimeable number, because it can be changed into a prime (45753373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56011 + ... + 56821.

It is an arithmetic number, because the mean of its divisors is an integer number (1969506).

Almost surely, 245753376 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 45753376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47268144).

45753376 is an abundant number, since it is smaller than the sum of its proper divisors (48782912).

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

45753376 is a wasteful number, since it uses less digits than its factorization.

45753376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its digits is 264600, while the sum is 40.

The square root of 45753376 is about 6764.1241857317. The cubic root of 45753376 is about 357.6633019244.

The spelling of 45753376 in words is "forty-five million, seven hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 43 82 86 164 172 328 344 656 688 811 1312 1376 1622 1763 3244 3526 6488 7052 12976 14104 25952 28208 33251 34873 56416 66502 69746 133004 139492 266008 278984 532016 557968 1064032 1115936 1429793 2859586 5719172 11438344 22876688 45753376