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48376368 = 24323110837
BaseRepresentation
bin1011100010001…
…0101000110000
310101000202220100
42320202220300
544341020433
64444512400
71125122655
oct270425060
9111022810
1048376368
1125341977
121424b700
13a03a391
1465d3c2c
1543a8b13
hex2e22a30

48376368 has 60 divisors (see below), whose sum is σ = 139766848. Its totient is φ = 15603840.

The previous prime is 48376357. The next prime is 48376369. The reversal of 48376368 is 86367384.

48376368 is a `hidden beast` number, since 4 + 8 + 3 + 7 + 636 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (48376369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 955 + ... + 9882.

Almost surely, 248376368 is an apocalyptic number.

48376368 is a gapful number since it is divisible by the number (48) 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 48376368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69883424).

48376368 is an abundant number, since it is smaller than the sum of its proper divisors (91390480).

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

48376368 is a wasteful number, since it uses less digits than its factorization.

48376368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882 (or 10873 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 48376368 is about 6955.3122144157. The cubic root of 48376368 is about 364.3715161872.

The spelling of 48376368 in words is "forty-eight million, three hundred seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 10837 21674 32511 43348 65022 86696 97533 130044 173392 195066 260088 335947 390132 520176 671894 780264 1007841 1343788 1560528 2015682 2687576 3023523 4031364 5375152 6047046 8062728 12094092 16125456 24188184 48376368