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48364368 = 24313179433
BaseRepresentation
bin1011100001111…
…1101101010000
310101000011102220
42320133231100
544340124433
64444341040
71125042663
oct270375520
9111004386
1048364368
1125333958
1214244780
13a034a90
1465cd6da
1543a52b3
hex2e1fb50

48364368 has 80 divisors (see below), whose sum is σ = 135616320. Its totient is φ = 14764032.

The previous prime is 48364343. The next prime is 48364403. The reversal of 48364368 is 86346384.

It is a super-2 number, since 2×483643682 = 4678224184078848, which contains 22 as substring.

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 nude number because it is divisible by every one of its digits.

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, 111480 + ... + 111912.

It is an arithmetic number, because the mean of its divisors is an integer number (1695204).

Almost surely, 248364368 is an apocalyptic number.

48364368 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 48364368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67808160).

48364368 is an abundant number, since it is smaller than the sum of its proper divisors (87251952).

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

48364368 is a wasteful number, since it uses less digits than its factorization.

48364368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 48364368 is about 6954.4495109246. The cubic root of 48364368 is about 364.3413856368.

The spelling of 48364368 in words is "forty-eight million, three hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 179 208 312 358 433 537 624 716 866 1074 1299 1432 1732 2148 2327 2598 2864 3464 4296 4654 5196 5629 6928 6981 8592 9308 10392 11258 13962 16887 18616 20784 22516 27924 33774 37232 45032 55848 67548 77507 90064 111696 135096 155014 232521 270192 310028 465042 620056 930084 1007591 1240112 1860168 2015182 3022773 3720336 4030364 6045546 8060728 12091092 16121456 24182184 48364368