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48782280 = 23353710987
BaseRepresentation
bin1011101000010…
…1101111001000
310101210101201010
42322011233020
544442013110
64501323520
71131433251
oct272055710
9111711633
1048782280
1125599938
12144065a0
13a150071
14669bb28
154439020
hex2e85bc8

48782280 has 64 divisors (see below), whose sum is σ = 150315840. Its totient is φ = 12655872.

The previous prime is 48782273. The next prime is 48782281. The reversal of 48782280 is 8228784.

48782280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48782281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054 + ... + 9933.

It is an arithmetic number, because the mean of its divisors is an integer number (2348685).

Almost surely, 248782280 is an apocalyptic number.

48782280 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 48782280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75157920).

48782280 is an abundant number, since it is smaller than the sum of its proper divisors (101533560).

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

48782280 is a wasteful number, since it uses less digits than its factorization.

48782280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11038 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 48782280 is about 6984.4312581627. The cubic root of 48782280 is about 365.3877907644.

The spelling of 48782280 in words is "forty-eight million, seven hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 10987 21974 32961 43948 54935 65922 87896 109870 131844 164805 219740 263688 329610 406519 439480 659220 813038 1219557 1318440 1626076 2032595 2439114 3252152 4065190 4878228 6097785 8130380 9756456 12195570 16260760 24391140 48782280