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48491424 = 25321371229
BaseRepresentation
bin1011100011111…
…0101110100000
310101020121201200
42320332232200
544403211144
64451201200
71126112262
oct270765640
9111217650
1048491424
1125410363
12142a6200
13a07a867
146623b32
1543ccc69
hex2e3eba0

48491424 has 72 divisors (see below), whose sum is σ = 139017060. Its totient is φ = 16032768.

The previous prime is 48491419. The next prime is 48491459. The reversal of 48491424 is 42419484.

It can be written as a sum of positive squares in 2 ways, for example, as 41835024 + 6656400 = 6468^2 + 2580^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38842 + ... + 40070.

Almost surely, 248491424 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 48491424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69508530).

48491424 is an abundant number, since it is smaller than the sum of its proper divisors (90525636).

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

48491424 is a wasteful number, since it uses less digits than its factorization.

48491424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1371 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48491424 is about 6963.5783904541. The cubic root of 48491424 is about 364.6601553084.

The spelling of 48491424 in words is "forty-eight million, four hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 548 822 1096 1229 1233 1644 2192 2458 2466 3288 3687 4384 4916 4932 6576 7374 9832 9864 11061 13152 14748 19664 19728 22122 29496 39328 39456 44244 58992 88488 117984 168373 176976 336746 353952 505119 673492 1010238 1346984 1515357 2020476 2693968 3030714 4040952 5387936 6061428 8081904 12122856 16163808 24245712 48491424