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48361984 = 291131277
BaseRepresentation
bin1011100001111…
…1001000000000
310101000001011121
42320133020000
544340040414
64444322024
71125033016
oct270371000
9111001147
1048361984
1125332090
1214243314
13a033978
1465cc8b6
1543a4724
hex2e1f200

48361984 has 80 divisors (see below), whose sum is σ = 109207296. Its totient is φ = 21196800.

The previous prime is 48361979. The next prime is 48361993. The reversal of 48361984 is 48916384.

It is a self number, because there is not a number n which added to its sum of digits gives 48361984.

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, 174454 + ... + 174730.

Almost surely, 248361984 is an apocalyptic number.

48361984 is a gapful number since it is divisible by the number (44) 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 48361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54603648).

48361984 is an abundant number, since it is smaller than the sum of its proper divisors (60845312).

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

48361984 is a wasteful number, since it uses less digits than its factorization.

48361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 48361984 is about 6954.2781077550. The cubic root of 48361984 is about 364.3353991074.

The spelling of 48361984 in words is "forty-eight million, three hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 277 341 352 496 512 554 682 704 992 1108 1364 1408 1984 2216 2728 2816 3047 3968 4432 5456 5632 6094 7936 8587 8864 10912 12188 15872 17174 17728 21824 24376 34348 35456 43648 48752 68696 70912 87296 94457 97504 137392 141824 174592 188914 195008 274784 377828 390016 549568 755656 780032 1099136 1511312 1560064 2198272 3022624 4396544 6045248 12090496 24180992 48361984