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48081920 = 21059391
BaseRepresentation
bin1011011101101…
…0110000000000
310100110210222212
42313122300000
544302110140
64434321252
71122455345
oct267326000
9110423885
1048081920
1125160727
1214129228
139c66353
1465587cc
15434b765
hex2ddac00

48081920 has 44 divisors (see below), whose sum is σ = 115352544. Its totient is φ = 19230720.

The previous prime is 48081919. The next prime is 48081941. The reversal of 48081920 is 2918084.

It is a happy number.

It is a super-3 number, since 3×480819203 (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 425 + ... + 9815.

Almost surely, 248081920 is an apocalyptic number.

48081920 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 48081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57676272).

48081920 is an abundant number, since it is smaller than the sum of its proper divisors (67270624).

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

48081920 is an equidigital number, since it uses as much as digits as its factorization.

48081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9416 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 48081920 is about 6934.1127767004. The cubic root of 48081920 is about 363.6307490042.

The spelling of 48081920 in words is "forty-eight million, eighty-one 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 2560 5120 9391 18782 37564 46955 75128 93910 150256 187820 300512 375640 601024 751280 1202048 1502560 2404096 3005120 4808192 6010240 9616384 12020480 24040960 48081920