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968380476 = 223741317887
BaseRepresentation
bin111001101110000…
…101000000111100
32111111011211021120
4321232011000330
53440401133401
6240031430540
732666045460
oct7156050074
92444154246
10968380476
11457697648
12230385450
13125818ccb
149287a4a0
155a037836
hex39b8503c

968380476 has 96 divisors (see below), whose sum is σ = 2656668672. Its totient is φ = 268776960.

The previous prime is 968380471. The next prime is 968380493. The reversal of 968380476 is 674083869.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968380471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091305 + ... + 1092191.

It is an arithmetic number, because the mean of its divisors is an integer number (27673632).

Almost surely, 2968380476 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 968380476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328334336).

968380476 is an abundant number, since it is smaller than the sum of its proper divisors (1688288196).

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

968380476 is a wasteful number, since it uses less digits than its factorization.

968380476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 968380476 is about 31118.8122523981. The cubic root of 968380476 is about 989.3470768771.

The spelling of 968380476 in words is "nine hundred sixty-eight million, three hundred eighty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 317 492 574 634 861 887 951 1148 1268 1722 1774 1902 2219 2661 3444 3548 3804 4438 5322 6209 6657 8876 10644 12418 12997 13314 18627 24836 25994 26628 36367 37254 38991 51988 72734 74508 77982 90979 109101 145468 155964 181958 218202 254569 272937 281179 363916 436404 509138 545874 562358 763707 843537 1018276 1091748 1124716 1527414 1687074 1968253 3054828 3374148 3936506 5904759 7873012 11528339 11809518 23056678 23619036 34585017 46113356 69170034 80698373 138340068 161396746 242095119 322793492 484190238 968380476