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215048768 = 26112511217
BaseRepresentation
bin11001101000101…
…10001001000000
3112222122121110012
430310112021000
5420023030033
633201124052
75220612224
oct1464261100
9488577405
10215048768
11100431360
1260029628
1335725bbc
14207bc784
1513d2d248
hexcd16240

215048768 has 56 divisors (see below), whose sum is σ = 467770464. Its totient is φ = 97280000.

The previous prime is 215048749. The next prime is 215048777. The reversal of 215048768 is 867840512.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176096 + ... + 177312.

It is an arithmetic number, because the mean of its divisors is an integer number (8353044).

Almost surely, 2215048768 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 215048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233885232).

215048768 is an abundant number, since it is smaller than the sum of its proper divisors (252721696).

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

215048768 is a wasteful number, since it uses less digits than its factorization.

215048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 215048768 is about 14664.5411793210. The cubic root of 215048768 is about 599.1179335296.

The spelling of 215048768 in words is "two hundred fifteen million, forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 251 352 502 704 1004 1217 2008 2434 2761 4016 4868 5522 8032 9736 11044 13387 16064 19472 22088 26774 38944 44176 53548 77888 88352 107096 176704 214192 305467 428384 610934 856768 1221868 2443736 3360137 4887472 6720274 9774944 13440548 19549888 26881096 53762192 107524384 215048768