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48115440 = 24325173931
BaseRepresentation
bin1011011110001…
…0111011110000
310100112111222100
42313202323300
544304143230
64435140400
71122655152
oct267427360
9110474870
1048115440
112518392a
1214144700
139c78699
146566ad2
154356660
hex2de2ef0

48115440 has 120 divisors (see below), whose sum is σ = 171136368. Its totient is φ = 12072960.

The previous prime is 48115399. The next prime is 48115469. The reversal of 48115440 is 4451184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10275 + ... + 14205.

Almost surely, 248115440 is an apocalyptic number.

48115440 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 48115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85568184).

48115440 is an abundant number, since it is smaller than the sum of its proper divisors (123020928).

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

48115440 is a wasteful number, since it uses less digits than its factorization.

48115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 48115440 is about 6936.5293915617. The cubic root of 48115440 is about 363.7152303181.

The spelling of 48115440 in words is "forty-eight million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 3931 4080 6120 7862 11793 12240 15724 19655 23586 31448 35379 39310 47172 58965 62896 66827 70758 78620 94344 117930 133654 141516 157240 176895 188688 200481 235860 267308 283032 314480 334135 353790 400962 471720 534616 566064 601443 668270 707580 801924 943440 1002405 1069232 1202886 1336540 1415160 1603848 2004810 2405772 2673080 2830320 3007215 3207696 4009620 4811544 5346160 6014430 8019240 9623088 12028860 16038480 24057720 48115440