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48815680 = 265791931
BaseRepresentation
bin1011101000110…
…1111001000000
310101212002112011
42322031321000
544444100210
64502142304
71131632524
oct272157100
9111762464
1048815680
1125611a41
1214421994
13a162324
1466a9d84
154443d8a
hex2e8de40

48815680 has 56 divisors (see below), whose sum is σ = 117774720. Its totient is φ = 19269120.

The previous prime is 48815659. The next prime is 48815713. The reversal of 48815680 is 8651884.

It is a super-2 number, since 2×488156802 = 4765941227724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 24315 + ... + 26245.

It is an arithmetic number, because the mean of its divisors is an integer number (2103120).

Almost surely, 248815680 is an apocalyptic number.

48815680 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 48815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58887360).

48815680 is an abundant number, since it is smaller than the sum of its proper divisors (68959040).

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

48815680 is a wasteful number, since it uses less digits than its factorization.

48815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 48815680 is about 6986.8218812275. The cubic root of 48815680 is about 365.4711623495.

The spelling of 48815680 in words is "forty-eight million, eight hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 1931 2528 3160 3862 5056 6320 7724 9655 12640 15448 19310 25280 30896 38620 61792 77240 123584 152549 154480 305098 308960 610196 617920 762745 1220392 1525490 2440784 3050980 4881568 6101960 9763136 12203920 24407840 48815680