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48053616 = 24313531453
BaseRepresentation
bin1011011101001…
…1110101110000
310100102101011120
42313103311300
544300203431
64433542240
71122310002
oct267236560
9110371146
1048053616
1125141436
1214114980
139c564c0
14654c372
154343196
hex2dd3d70

48053616 has 80 divisors (see below), whose sum is σ = 136303776. Its totient is φ = 14496768.

The previous prime is 48053573. The next prime is 48053623. The reversal of 48053616 is 61635084.

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, 32346 + ... + 33798.

Almost surely, 248053616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48053616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68151888).

48053616 is an abundant number, since it is smaller than the sum of its proper divisors (88250160).

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

48053616 is a wasteful number, since it uses less digits than its factorization.

48053616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 48053616 is about 6932.0715518523. The cubic root of 48053616 is about 363.5593831289.

The spelling of 48053616 in words is "forty-eight million, fifty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 1453 2067 2544 2756 2906 4134 4359 5512 5812 8268 8718 11024 11624 16536 17436 18889 23248 33072 34872 37778 56667 69744 75556 77009 113334 151112 154018 226668 231027 302224 308036 453336 462054 616072 906672 924108 1001117 1232144 1848216 2002234 3003351 3696432 4004468 6006702 8008936 12013404 16017872 24026808 48053616