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45421480 = 23513113773
BaseRepresentation
bin1010110101000…
…1001110101000
310011110122120001
42231101032220
543111441410
64301312344
71061035066
oct255211650
9104418501
1045421480
1123703915
12132656b4
139544420
146065036
153ec333a
hex2b513a8

45421480 has 64 divisors (see below), whose sum is σ = 111177360. Its totient is φ = 16601088.

The previous prime is 45421451. The next prime is 45421483. The reversal of 45421480 is 8412454.

It can be written as a sum of positive squares in 8 ways, for example, as 236196 + 45185284 = 486^2 + 6722^2 .

It is a super-2 number, since 2×454214802 = 4126221690780800, which contains 22 as substring.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (45421483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58374 + ... + 59146.

Almost surely, 245421480 is an apocalyptic number.

45421480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45421480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55588680).

45421480 is an abundant number, since it is smaller than the sum of its proper divisors (65755880).

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

45421480 is a wasteful number, since it uses less digits than its factorization.

45421480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 45421480 is about 6739.5459787733. The cubic root of 45421480 is about 356.7963697875.

The spelling of 45421480 in words is "forty-five million, four hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 226 260 452 520 565 773 904 1130 1469 1546 2260 2938 3092 3865 4520 5876 6184 7345 7730 10049 11752 14690 15460 20098 29380 30920 40196 50245 58760 80392 87349 100490 174698 200980 349396 401960 436745 698792 873490 1135537 1746980 2271074 3493960 4542148 5677685 9084296 11355370 22710740 45421480