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45356464 = 2429239409
BaseRepresentation
bin1010110100000…
…1010110110000
310011100100101001
42231001112300
543102401324
64300051344
71060344406
oct255012660
9104310331
1045356464
1123669a8a
1213233b54
13952095a
146049476
153eade44
hex2b415b0

45356464 has 40 divisors (see below), whose sum is σ = 91512000. Its totient is φ = 21751296.

The previous prime is 45356461. The next prime is 45356471. The reversal of 45356464 is 46465354.

It is not an unprimeable number, because it can be changed into a prime (45356461) 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, 110692 + ... + 111100.

It is an arithmetic number, because the mean of its divisors is an integer number (2287800).

Almost surely, 245356464 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 45356464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45756000).

45356464 is an abundant number, since it is smaller than the sum of its proper divisors (46155536).

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

45356464 is a wasteful number, since it uses less digits than its factorization.

45356464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its digits is 172800, while the sum is 37.

The square root of 45356464 is about 6734.7207811460. The cubic root of 45356464 is about 356.6260498579.

It can be divided in two parts, 453564 and 64, that added together give a triangular number (453628 = T952).

The spelling of 45356464 in words is "forty-five million, three hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 239 409 464 478 818 956 1636 1912 3272 3824 6544 6931 11861 13862 23722 27724 47444 55448 94888 97751 110896 189776 195502 391004 782008 1564016 2834779 5669558 11339116 22678232 45356464