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48374880 = 2535313251
BaseRepresentation
bin1011100010001…
…0010001100000
310101000200212020
42320202101200
544340444010
64444501440
71125115431
oct270422140
9111020766
1048374880
1125340844
121424a880
13a0397b8
1465d3488
1543a8470
hex2e22460

48374880 has 96 divisors (see below), whose sum is σ = 157344768. Its totient is φ = 12480000.

The previous prime is 48374831. The next prime is 48374899. The reversal of 48374880 is 8847384.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13255 + ... + 16505.

It is an arithmetic number, because the mean of its divisors is an integer number (1639008).

Almost surely, 248374880 is an apocalyptic number.

48374880 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 48374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78672384).

48374880 is an abundant number, since it is smaller than the sum of its proper divisors (108969888).

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

48374880 is a wasteful number, since it uses less digits than its factorization.

48374880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 48374880 is about 6955.2052449946. The cubic root of 48374880 is about 364.3677802696.

The spelling of 48374880 in words is "forty-eight million, three hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3251 3720 4960 6502 7440 9753 13004 14880 16255 19506 26008 32510 39012 48765 52016 65020 78024 97530 100781 104032 130040 156048 195060 201562 260080 302343 312096 390120 403124 503905 520160 604686 780240 806248 1007810 1209372 1511715 1560480 1612496 2015620 2418744 3023430 3224992 4031240 4837488 6046860 8062480 9674976 12093720 16124960 24187440 48374880