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981197952 = 2737252147
BaseRepresentation
bin111010011110111…
…110010010000000
32112101022000112220
4322132332102000
54002141313302
6241210251040
733213021300
oct7236762200
92471260486
10981197952
114639515a9
12234726a80
13128386107
1494455600
155b21a4bc
hex3a7be480

981197952 has 96 divisors (see below), whose sum is σ = 3031884720. Its totient is φ = 280336896.

The previous prime is 981197947. The next prime is 981197969. The reversal of 981197952 is 259791189.

981197952 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 junction number, because it is equal to n+sod(n) for n = 981197895 and 981197904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7258 + ... + 44889.

Almost surely, 2981197952 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 981197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515942360).

981197952 is an abundant number, since it is smaller than the sum of its proper divisors (2050686768).

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

981197952 is a wasteful number, since it uses less digits than its factorization.

981197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52178 (or 52159 counting only the distinct ones).

The product of its digits is 408240, while the sum is 51.

The square root of 981197952 is about 31324.0794278140. The cubic root of 981197952 is about 993.6929554851.

The spelling of 981197952 in words is "nine hundred eighty-one million, one hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 52147 104294 156441 208588 312882 365029 417176 625764 730058 834352 1095087 1251528 1460116 1668704 2190174 2503056 2555203 2920232 3337408 4380348 5006112 5110406 5840464 6674816 7665609 8760696 10012224 10220812 11680928 15331218 17521392 20024448 20441624 23361856 30662436 35042784 40883248 46723712 61324872 70085568 81766496 122649744 140171136 163532992 245299488 327065984 490598976 981197952