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48465920 = 21154733
BaseRepresentation
bin1011100011100…
…0100000000000
310101012022202002
42320320200000
544401402140
64450443132
71125645026
oct270704000
9111168662
1048465920
11253a3188
12142934a8
13a06c079
146618716
1543c5415
hex2e38800

48465920 has 48 divisors (see below), whose sum is σ = 116314380. Its totient is φ = 19382272.

The previous prime is 48465919. The next prime is 48465983. The reversal of 48465920 is 2956484.

It can be written as a sum of positive squares in 2 ways, for example, as 45589504 + 2876416 = 6752^2 + 1696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7874 + ... + 12606.

Almost surely, 248465920 is an apocalyptic number.

48465920 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 48465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58157190).

48465920 is an abundant number, since it is smaller than the sum of its proper divisors (67848460).

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

48465920 is an equidigital number, since it uses as much as digits as its factorization.

48465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 48465920 is about 6961.7469072066. The cubic root of 48465920 is about 364.5962132556.

The spelling of 48465920 in words is "forty-eight million, four hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4733 5120 9466 10240 18932 23665 37864 47330 75728 94660 151456 189320 302912 378640 605824 757280 1211648 1514560 2423296 3029120 4846592 6058240 9693184 12116480 24232960 48465920