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48315608 = 23113189199
BaseRepresentation
bin1011100001001…
…1110011011000
310100220200112222
42320103303120
544332044413
64443323212
71124450555
oct270236330
9110820488
1048315608
1125300260
1214220508
13a018823
1465b9a2c
154395b08
hex2e13cd8

48315608 has 64 divisors (see below), whose sum is σ = 103680000. Its totient is φ = 20908800.

The previous prime is 48315601. The next prime is 48315611. The reversal of 48315608 is 80651384.

48315608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48315601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242693 + ... + 242891.

It is an arithmetic number, because the mean of its divisors is an integer number (1620000).

Almost surely, 248315608 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 48315608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840000).

48315608 is an abundant number, since it is smaller than the sum of its proper divisors (55364392).

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

48315608 is a wasteful number, since it uses less digits than its factorization.

48315608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 48315608 is about 6950.9429576137. The cubic root of 48315608 is about 364.2189038715.

The spelling of 48315608 in words is "forty-eight million, three hundred fifteen thousand, six hundred eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 89 124 178 199 248 341 356 398 682 712 796 979 1364 1592 1958 2189 2728 2759 3916 4378 5518 6169 7832 8756 11036 12338 17512 17711 22072 24676 30349 35422 49352 60698 67859 70844 121396 135718 141688 194821 242792 271436 389642 542872 549041 779284 1098082 1558568 2196164 4392328 6039451 12078902 24157804 48315608