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48368292 = 22372431913
BaseRepresentation
bin1011100010000…
…0101010100100
310101000100211020
42320200222210
544340241132
64444411140
71125060300
oct270405244
9111010736
1048368292
11253368a5
1214246ab0
13a0367bb
1465d0d00
1543a652c
hex2e20aa4

48368292 has 72 divisors (see below), whose sum is σ = 134408736. Its totient is φ = 13491072.

The previous prime is 48368279. The next prime is 48368293. The reversal of 48368292 is 29286384.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (48368293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24328 + ... + 26240.

It is an arithmetic number, because the mean of its divisors is an integer number (1866788).

Almost surely, 248368292 is an apocalyptic number.

48368292 is a gapful number since it is divisible by the number (42) 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 48368292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67204368).

48368292 is an abundant number, since it is smaller than the sum of its proper divisors (86040444).

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

48368292 is a wasteful number, since it uses less digits than its factorization.

48368292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1968 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 48368292 is about 6954.7316267416. The cubic root of 48368292 is about 364.3512388751.

The spelling of 48368292 in words is "forty-eight million, three hundred sixty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1806 1913 2107 3612 3826 4214 5739 6321 7652 8428 11478 12642 13391 22956 25284 26782 40173 53564 80346 82259 93737 160692 164518 187474 246777 281211 329036 374948 493554 562422 575813 987108 1124844 1151626 1727439 2303252 3454878 4030691 6909756 8061382 12092073 16122764 24184146 48368292