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45452640 = 253594693
BaseRepresentation
bin1010110101100…
…0110101100000
310011112020022010
42231120311200
543113441030
64302112520
71061224662
oct255306540
9104466263
1045452640
1123725272
121327b740
13955566c
146072532
153ecc6b0
hex2b58d60

45452640 has 48 divisors (see below), whose sum is σ = 143177328. Its totient is φ = 12120576.

The previous prime is 45452639. The next prime is 45452651. The reversal of 45452640 is 4625454.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 45452598 and 45452607.

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, 46867 + ... + 47826.

It is an arithmetic number, because the mean of its divisors is an integer number (2982861).

Almost surely, 245452640 is an apocalyptic number.

45452640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45452640 is an abundant number, since it is smaller than the sum of its proper divisors (97724688).

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

45452640 is a wasteful number, since it uses less digits than its factorization.

45452640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94711 (or 94703 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 45452640 is about 6741.8573108603. The cubic root of 45452640 is about 356.8779408380.

The spelling of 45452640 in words is "forty-five million, four hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 94693 189386 284079 378772 473465 568158 757544 946930 1136316 1420395 1515088 1893860 2272632 2840790 3030176 3787720 4545264 5681580 7575440 9090528 11363160 15150880 22726320 45452640