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48249144 = 23323121617
BaseRepresentation
bin1011100000001…
…1100100111000
310100210022101100
42320003210320
544322433034
64442051400
71124053026
oct270034470
9110708340
1048249144
1125265329
12141a9b60
139cc44b8
14659d716
154381099
hex2e03938

48249144 has 48 divisors (see below), whose sum is σ = 134896320. Its totient is φ = 15563520.

The previous prime is 48249143. The next prime is 48249163. The reversal of 48249144 is 44194284.

It is a super-3 number, since 3×482491443 (a number of 24 digits) contains 333 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 48249099 and 48249108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48249143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8577 + ... + 13040.

It is an arithmetic number, because the mean of its divisors is an integer number (2810340).

Almost surely, 248249144 is an apocalyptic number.

It is an amenable number.

48249144 is an abundant number, since it is smaller than the sum of its proper divisors (86647176).

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

48249144 is a wasteful number, since it uses less digits than its factorization.

48249144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21660 (or 21653 counting only the distinct ones).

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

The square root of 48249144 is about 6946.1603782234. The cubic root of 48249144 is about 364.0518180869.

The spelling of 48249144 in words is "forty-eight million, two hundred forty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 21617 43234 64851 86468 129702 172936 194553 259404 389106 518808 670127 778212 1340254 1556424 2010381 2680508 4020762 5361016 6031143 8041524 12062286 16083048 24124572 48249144