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45048416 = 257832423
BaseRepresentation
bin1010101111011…
…0001001100000
310010202200210212
42223312021200
543013022131
64245313252
71054622330
oct253661140
9103680725
1045048416
11234795a6
1213105828
13944368a
145da90c0
153e4ca2b
hex2af6260

45048416 has 48 divisors (see below), whose sum is σ = 102622464. Its totient is φ = 19065984.

The previous prime is 45048403. The next prime is 45048433. The reversal of 45048416 is 61484054.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 17381 + ... + 19803.

It is an arithmetic number, because the mean of its divisors is an integer number (2137968).

Almost surely, 245048416 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 45048416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51311232).

45048416 is an abundant number, since it is smaller than the sum of its proper divisors (57574048).

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

45048416 is a wasteful number, since it uses less digits than its factorization.

45048416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 45048416 is about 6711.8116779302. The cubic root of 45048416 is about 355.8168480950.

The spelling of 45048416 in words is "forty-five million, forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 1162 1328 2324 2423 2656 4648 4846 9296 9692 16961 18592 19384 33922 38768 67844 77536 135688 201109 271376 402218 542752 804436 1407763 1608872 2815526 3217744 5631052 6435488 11262104 22524208 45048416