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48378880 = 210511859
BaseRepresentation
bin1011100010001…
…1010000000000
310101000220100101
42320203100000
544341111010
64444532144
71125133204
oct270432000
9111026311
1048378880
1125343850
1214251054
13a03b574
1465d4b04
1543a973a
hex2e23400

48378880 has 88 divisors (see below), whose sum is σ = 126750240. Its totient is φ = 17571840.

The previous prime is 48378871. The next prime is 48378901. The reversal of 48378880 is 8887384.

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 48378880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55891 + ... + 56749.

Almost surely, 248378880 is an apocalyptic number.

48378880 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 48378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63375120).

48378880 is an abundant number, since it is smaller than the sum of its proper divisors (78371360).

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

48378880 is a wasteful number, since it uses less digits than its factorization.

48378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 48378880 is about 6955.4927934691. The cubic root of 48378880 is about 364.3778228850.

The spelling of 48378880 in words is "forty-eight million, three hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 859 880 1024 1280 1408 1718 1760 2560 2816 3436 3520 4295 5120 5632 6872 7040 8590 9449 11264 13744 14080 17180 18898 27488 28160 34360 37796 47245 54976 56320 68720 75592 94490 109952 137440 151184 188980 219904 274880 302368 377960 439808 549760 604736 755920 879616 1099520 1209472 1511840 2199040 2418944 3023680 4398080 4837888 6047360 9675776 12094720 24189440 48378880