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45235104 = 2532232113
BaseRepresentation
bin1010110010001…
…1101110100000
310011010011220020
42230203232200
543040010404
64253313440
71056330525
oct254435640
9104104806
1045235104
1123596892
1213195880
1394aa645
14601714c
153e87ed9
hex2b23ba0

45235104 has 48 divisors (see below), whose sum is σ = 119331072. Its totient is φ = 15003648.

The previous prime is 45235093. The next prime is 45235111. The reversal of 45235104 is 40153254.

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 (24).

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, 20352 + ... + 22464.

It is an arithmetic number, because the mean of its divisors is an integer number (2486064).

Almost surely, 245235104 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 45235104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59665536).

45235104 is an abundant number, since it is smaller than the sum of its proper divisors (74095968).

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

45235104 is a wasteful number, since it uses less digits than its factorization.

45235104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 45235104 is about 6725.7047214400. The cubic root of 45235104 is about 356.3076917341.

Adding to 45235104 its reverse (40153254), we get a palindrome (85388358).

The spelling of 45235104 in words is "forty-five million, two hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2113 2676 3568 4226 5352 6339 7136 8452 10704 12678 16904 21408 25356 33808 50712 67616 101424 202848 471199 942398 1413597 1884796 2827194 3769592 5654388 7539184 11308776 15078368 22617552 45235104