Search a number
-
+
45364928 = 267109929
BaseRepresentation
bin1010110100001…
…1011011000000
310011100202222112
42231003123000
543103134203
64300154452
71060411160
oct255033300
9104322875
1045364928
1123675384
1213238a28
13952476b
14604c5a0
153eb16d8
hex2b436c0

45364928 has 56 divisors (see below), whose sum is σ = 103936800. Its totient is φ = 19243008.

The previous prime is 45364927. The next prime is 45364931. The reversal of 45364928 is 82946354.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (45364927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48368 + ... + 49296.

Almost surely, 245364928 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 45364928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51968400).

45364928 is an abundant number, since it is smaller than the sum of its proper divisors (58571872).

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

45364928 is a wasteful number, since it uses less digits than its factorization.

45364928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1047 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 45364928 is about 6735.3491372014. The cubic root of 45364928 is about 356.6482318865.

The spelling of 45364928 in words is "forty-five million, three hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 929 1526 1744 1858 3052 3488 3716 6104 6503 6976 7432 12208 13006 14864 24416 26012 29728 48832 52024 59456 101261 104048 202522 208096 405044 416192 708827 810088 1417654 1620176 2835308 3240352 5670616 6480704 11341232 22682464 45364928