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48819144 = 23311216811
BaseRepresentation
bin1011101000111…
…0101111001000
310101212021021110
42322032233020
544444203034
64502210320
71131645603
oct272165710
9111767243
1048819144
1125614600
12144239a0
13a163a8a
1466ab33a
154444de9
hex2e8ebc8

48819144 has 48 divisors (see below), whose sum is σ = 134159760. Its totient is φ = 14792800.

The previous prime is 48819143. The next prime is 48819191. The reversal of 48819144 is 44191884.

It is not an unprimeable number, because it can be changed into a prime (48819143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5502 + ... + 11309.

It is an arithmetic number, because the mean of its divisors is an integer number (2794995).

Almost surely, 248819144 is an apocalyptic number.

48819144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48819144 is an abundant number, since it is smaller than the sum of its proper divisors (85340616).

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

48819144 is a wasteful number, since it uses less digits than its factorization.

48819144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16842 (or 16827 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 48819144 is about 6987.0697720861. The cubic root of 48819144 is about 365.4798068544.

The spelling of 48819144 in words is "forty-eight million, eight hundred nineteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 16811 33622 50433 67244 100866 134488 184921 201732 369842 403464 554763 739684 1109526 1479368 2034131 2219052 4068262 4438104 6102393 8136524 12204786 16273048 24409572 48819144