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48193360 = 2452920773
BaseRepresentation
bin1011011111010…
…1111101010000
310100200110212021
42313311331100
544314141420
64440541224
71123431265
oct267657520
9110613767
1048193360
1125227426
1214181814
139ca4ca7
14658726c
15436e7aa
hex2df5f50

48193360 has 40 divisors (see below), whose sum is σ = 115918920. Its totient is φ = 18611712.

The previous prime is 48193337. The next prime is 48193373. The reversal of 48193360 is 6339184.

It can be written as a sum of positive squares in 4 ways, for example, as 15429184 + 32764176 = 3928^2 + 5724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 8067 + ... + 12706.

It is an arithmetic number, because the mean of its divisors is an integer number (2897973).

Almost surely, 248193360 is an apocalyptic number.

48193360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48193360 is an abundant number, since it is smaller than the sum of its proper divisors (67725560).

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

48193360 is a wasteful number, since it uses less digits than its factorization.

48193360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20815 (or 20809 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 48193360 is about 6942.1437611159. The cubic root of 48193360 is about 363.9114625867.

The spelling of 48193360 in words is "forty-eight million, one hundred ninety-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 20773 41546 83092 103865 166184 207730 332368 415460 602417 830920 1204834 1661840 2409668 3012085 4819336 6024170 9638672 12048340 24096680 48193360