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5011968 = 29313251
BaseRepresentation
bin10011000111101000000000
3100102122010110
4103013220000
52240340333
6255231320
760413103
oct23075000
910378113
105011968
112913625
121818540
131066380
1494673a
15690063
hex4c7a00

5011968 has 80 divisors (see below), whose sum is σ = 14436576. Its totient is φ = 1536000.

The previous prime is 5011967. The next prime is 5011969. The reversal of 5011968 is 8691105.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5011967) and next prime (5011969).

It is not an unprimeable number, because it can be changed into a prime (5011967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19843 + ... + 20093.

Almost surely, 25011968 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 5011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218288).

5011968 is an abundant number, since it is smaller than the sum of its proper divisors (9424608).

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

5011968 is a wasteful number, since it uses less digits than its factorization.

5011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 5011968 is about 2238.7425041751. The cubic root of 5011968 is about 171.1339192375.

The spelling of 5011968 in words is "five million, eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 251 256 312 384 416 502 512 624 753 768 832 1004 1248 1506 1536 1664 2008 2496 3012 3263 3328 4016 4992 6024 6526 6656 8032 9789 9984 12048 13052 16064 19578 19968 24096 26104 32128 39156 48192 52208 64256 78312 96384 104416 128512 156624 192768 208832 313248 385536 417664 626496 835328 1252992 1670656 2505984 5011968