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48889920 = 2635127401
BaseRepresentation
bin1011101010000…
…0000001000000
310101222212100210
42322200001000
5100003434140
64503514120
71132362132
oct272400100
9111885323
1048889920
11256627a2
1214458940
13a18a061
1466c9052
15445ad80
hex2ea0040

48889920 has 112 divisors (see below), whose sum is σ = 156837888. Its totient is φ = 12902400.

The previous prime is 48889891. The next prime is 48889921. The reversal of 48889920 is 2998884.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48889920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48889921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121720 + ... + 122120.

Almost surely, 248889920 is an apocalyptic number.

48889920 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 48889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78418944).

48889920 is an abundant number, since it is smaller than the sum of its proper divisors (107947968).

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

48889920 is a wasteful number, since it uses less digits than its factorization.

48889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 48889920 is about 6992.1327218525. The cubic root of 48889920 is about 365.6563408009.

The spelling of 48889920 in words is "forty-eight million, eight hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 160 192 240 254 320 381 401 480 508 635 762 802 960 1016 1203 1270 1524 1604 1905 2005 2032 2406 2540 3048 3208 3810 4010 4064 4812 5080 6015 6096 6416 7620 8020 8128 9624 10160 12030 12192 12832 15240 16040 19248 20320 24060 24384 25664 30480 32080 38496 40640 48120 50927 60960 64160 76992 96240 101854 121920 128320 152781 192480 203708 254635 305562 384960 407416 509270 611124 763905 814832 1018540 1222248 1527810 1629664 2037080 2444496 3055620 3259328 4074160 4888992 6111240 8148320 9777984 12222480 16296640 24444960 48889920