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45050368 = 291119421
BaseRepresentation
bin1010101111011…
…0101000000000
310010202210111011
42223312220000
543013102433
64245330304
71054631116
oct253665000
9103683434
1045050368
1123480010
1213106994
13944452c
145da9ab6
153e4d3cd
hex2af6a00

45050368 has 80 divisors (see below), whose sum is σ = 103609440. Its totient is φ = 19353600.

The previous prime is 45050339. The next prime is 45050377. The reversal of 45050368 is 86305054.

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 7 ways as a sum of consecutive naturals, for example, 106798 + ... + 107218.

It is an arithmetic number, because the mean of its divisors is an integer number (1295118).

Almost surely, 245050368 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 45050368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51804720).

45050368 is an abundant number, since it is smaller than the sum of its proper divisors (58559072).

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

45050368 is a wasteful number, since it uses less digits than its factorization.

45050368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 45050368 is about 6711.9570916388. The cubic root of 45050368 is about 355.8219873393.

The spelling of 45050368 in words is "forty-five million, fifty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 421 512 608 704 836 842 1216 1408 1672 1684 2432 2816 3344 3368 4631 4864 5632 6688 6736 7999 9262 9728 13376 13472 15998 18524 26752 26944 31996 37048 53504 53888 63992 74096 87989 107008 107776 127984 148192 175978 215552 255968 296384 351956 511936 592768 703912 1023872 1185536 1407824 2047744 2371072 2815648 4095488 5631296 11262592 22525184 45050368