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45254048 = 25741931
BaseRepresentation
bin1010110010100…
…0010110100000
310011011010212212
42230220112200
543041112143
64253541252
71056440000
oct254502640
9104133785
1045254048
11235aa044
12131a4828
1394b6158
146020000
153e8d918
hex2b285a0

45254048 has 120 divisors (see below), whose sum is σ = 112936320. Its totient is φ = 17781120.

The previous prime is 45254047. The next prime is 45254057. The reversal of 45254048 is 84045254.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45254047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1459793 + ... + 1459823.

It is an arithmetic number, because the mean of its divisors is an integer number (941136).

Almost surely, 245254048 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 45254048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56468160).

45254048 is an abundant number, since it is smaller than the sum of its proper divisors (67682272).

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

45254048 is an equidigital number, since it uses as much as digits as its factorization.

45254048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The square root of 45254048 is about 6727.1129022784. The cubic root of 45254048 is about 356.3574241341.

The spelling of 45254048 in words is "forty-five million, two hundred fifty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 76 98 112 124 133 152 196 217 224 248 266 304 343 392 434 496 532 589 608 686 784 868 931 992 1064 1178 1372 1519 1568 1736 1862 2128 2356 2401 2744 3038 3472 3724 4123 4256 4712 4802 5488 6076 6517 6944 7448 8246 9424 9604 10633 10976 12152 13034 14896 16492 18848 19208 21266 24304 26068 28861 29792 32984 38416 42532 45619 48608 52136 57722 65968 74431 76832 85064 91238 104272 115444 131936 148862 170128 182476 202027 208544 230888 297724 340256 364952 404054 461776 595448 729904 808108 923552 1190896 1414189 1459808 1616216 2381792 2828378 3232432 5656756 6464864 11313512 22627024 45254048