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45023424 = 263421557
BaseRepresentation
bin1010101111000…
…0000011000000
310010201102112020
42223300003000
543011222144
64245001440
71054456425
oct253600300
9103642466
1045023424
1123461846
12130b3280
1394351a4
145d9dd4c
153e45419
hex2af00c0

45023424 has 56 divisors (see below), whose sum is σ = 119621808. Its totient is φ = 14945280.

The previous prime is 45023417. The next prime is 45023437. The reversal of 45023424 is 42432054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 45023394 and 45023403.

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, 80554 + ... + 81110.

Almost surely, 245023424 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 45023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59810904).

45023424 is an abundant number, since it is smaller than the sum of its proper divisors (74598384).

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

45023424 is a wasteful number, since it uses less digits than its factorization.

45023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 45023424 is about 6709.9496272327. The cubic root of 45023424 is about 355.7510357946.

Adding to 45023424 its reverse (42432054), we get a palindrome (87455478).

The spelling of 45023424 in words is "forty-five million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 421 557 842 1114 1263 1671 1684 2228 2526 3342 3368 4456 5052 6684 6736 8912 10104 13368 13472 17824 20208 26736 26944 35648 40416 53472 80832 106944 234497 468994 703491 937988 1406982 1875976 2813964 3751952 5627928 7503904 11255856 15007808 22511712 45023424