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215895648 = 25317263503
BaseRepresentation
bin11001101111001…
…00111001100000
3120001020122011010
430313210321200
5420232130043
633231220520
75231040243
oct1467447140
9501218133
10215895648
1110095a661
1260377740
1335961507
142095d25a
1513e49133
hexcde4e60

215895648 has 96 divisors (see below), whose sum is σ = 603542016. Its totient is φ = 67340288.

The previous prime is 215895599. The next prime is 215895679. The reversal of 215895648 is 846598512.

215895648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2158956482 = 93221861650679808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 215895597 and 215895606.

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, 428965 + ... + 429467.

It is an arithmetic number, because the mean of its divisors is an integer number (6286896).

Almost surely, 2215895648 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 215895648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301771008).

215895648 is an abundant number, since it is smaller than the sum of its proper divisors (387646368).

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

215895648 is a wasteful number, since it uses less digits than its factorization.

215895648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The square root of 215895648 is about 14693.3879006851. The cubic root of 215895648 is about 599.9033622138.

The spelling of 215895648 in words is "two hundred fifteen million, eight hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 263 272 408 503 526 544 789 816 1006 1052 1509 1578 1632 2012 2104 3018 3156 4024 4208 4471 6036 6312 8048 8416 8551 8942 12072 12624 13413 16096 17102 17884 24144 25248 25653 26826 34204 35768 48288 51306 53652 68408 71536 102612 107304 132289 136816 143072 205224 214608 264578 273632 396867 410448 429216 529156 793734 820896 1058312 1587468 2116624 2248913 3174936 4233248 4497826 6349872 6746739 8995652 12699744 13493478 17991304 26986956 35982608 53973912 71965216 107947824 215895648