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45398016 = 21133821
BaseRepresentation
bin1010110100101…
…1100000000000
310011102110101000
42231023200000
543110214031
64301012000
71060606506
oct255134000
9104373330
1045398016
1123698224
1213254000
139536841
14605a676
153ebb3e6
hex2b4b800

45398016 has 96 divisors (see below), whose sum is σ = 134643600. Its totient is φ = 15114240.

The previous prime is 45397987. The next prime is 45398027. The reversal of 45398016 is 61089354.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54886 + ... + 55706.

Almost surely, 245398016 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 45398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67321800).

45398016 is an abundant number, since it is smaller than the sum of its proper divisors (89245584).

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

45398016 is an equidigital number, since it uses as much as digits as its factorization.

45398016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45398016 is about 6737.8049838208. The cubic root of 45398016 is about 356.7349207989.

The spelling of 45398016 in words is "forty-five million, three hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 821 864 1024 1152 1536 1642 1728 2048 2304 2463 3072 3284 3456 4608 4926 6144 6568 6912 7389 9216 9852 13136 13824 14778 18432 19704 22167 26272 27648 29556 39408 44334 52544 55296 59112 78816 88668 105088 118224 157632 177336 210176 236448 315264 354672 420352 472896 630528 709344 840704 945792 1261056 1418688 1681408 1891584 2522112 2837376 3783168 5044224 5674752 7566336 11349504 15132672 22699008 45398016