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45515640 = 23351919963
BaseRepresentation
bin1010110110100…
…0001101111000
310011122102201110
42231220031320
543123000030
64303320320
71061606442
oct255501570
9104572643
1045515640
1123768635
12132b00a0
139578241
14608b492
153ee11b0
hex2b68378

45515640 has 64 divisors (see below), whose sum is σ = 143740800. Its totient is φ = 11498112.

The previous prime is 45515563. The next prime is 45515641. The reversal of 45515640 is 4651554.

45515640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45515598 and 45515607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45515641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7702 + ... + 12261.

It is an arithmetic number, because the mean of its divisors is an integer number (2245950).

Almost surely, 245515640 is an apocalyptic number.

45515640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45515640 is an abundant number, since it is smaller than the sum of its proper divisors (98225160).

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

45515640 is a wasteful number, since it uses less digits than its factorization.

45515640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19996 (or 19992 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 45515640 is about 6746.5279959398. The cubic root of 45515640 is about 357.0427492374.

The spelling of 45515640 in words is "forty-five million, five hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 19963 39926 59889 79852 99815 119778 159704 199630 239556 299445 379297 399260 479112 598890 758594 798520 1137891 1197780 1517188 1896485 2275782 2395560 3034376 3792970 4551564 5689455 7585940 9103128 11378910 15171880 22757820 45515640