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393039948 = 2237311491013
BaseRepresentation
bin10111011011010…
…101000001001100
31000101120111110010
4113123111001030
51301104234243
6103000113220
712511533030
oct2733250114
91011514403
10393039948
11191951804
12ab765810
1363575622
143a2b21c0
152478b433
hex176d504c

393039948 has 96 divisors (see below), whose sum is σ = 1090252800. Its totient is φ = 107838720.

The previous prime is 393039919. The next prime is 393039971. The reversal of 393039948 is 849930393.

It is a junction number, because it is equal to n+sod(n) for n = 393039897 and 393039906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387490 + ... + 388502.

It is an arithmetic number, because the mean of its divisors is an integer number (11356800).

Almost surely, 2393039948 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 393039948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545126400).

393039948 is an abundant number, since it is smaller than the sum of its proper divisors (697212852).

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

393039948 is a wasteful number, since it uses less digits than its factorization.

393039948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 393039948 is about 19825.2351310142. The cubic root of 393039948 is about 732.5077623067.

The spelling of 393039948 in words is "three hundred ninety-three million, thirty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 149 186 217 298 372 434 447 596 651 868 894 1013 1043 1302 1788 2026 2086 2604 3039 3129 4052 4172 4619 6078 6258 7091 9238 12156 12516 13857 14182 18476 21273 27714 28364 31403 32333 42546 55428 62806 64666 85092 94209 96999 125612 129332 150937 188418 193998 219821 301874 376836 387996 439642 452811 603748 659463 879284 905622 1056559 1318926 1811244 2113118 2637852 3169677 4226236 4679047 6339354 9358094 12678708 14037141 18716188 28074282 32753329 56148564 65506658 98259987 131013316 196519974 393039948