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45199104 = 283229257
BaseRepresentation
bin1010110001101…
…0111100000000
310011001100111220
42230122330000
543032332404
64252435040
71056120546
oct254327400
9104040456
1045199104
1123571835
1213178a80
139497142
146007d96
153e7c4d9
hex2b1af00

45199104 has 72 divisors (see below), whose sum is σ = 121290960. Its totient is φ = 14942208.

The previous prime is 45199103. The next prime is 45199123. The reversal of 45199104 is 40199154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45199103) 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, 175744 + ... + 176000.

Almost surely, 245199104 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 45199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60645480).

45199104 is an abundant number, since it is smaller than the sum of its proper divisors (76091856).

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

45199104 is a wasteful number, since it uses less digits than its factorization.

45199104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 45199104 is about 6723.0278892773. The cubic root of 45199104 is about 356.2131450948.

The spelling of 45199104 in words is "forty-five million, one hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 257 384 458 514 687 768 771 916 1028 1374 1542 1832 2056 2748 3084 3664 4112 5496 6168 7328 8224 10992 12336 14656 16448 21984 24672 29312 32896 43968 49344 58624 58853 65792 87936 98688 117706 175872 176559 197376 235412 353118 470824 706236 941648 1412472 1883296 2824944 3766592 5649888 7533184 11299776 15066368 22599552 45199104