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970103952 = 24344118257
BaseRepresentation
bin111001110100101…
…001110010010000
32111121102101110000
4321310221302100
53441321311302
6240132410000
733016514256
oct7164516220
92447371400
10970103952
11458664504
12230a76900
13125ca060c
1492ba85d6
155a27831c
hex39d29c90

970103952 has 100 divisors (see below), whose sum is σ = 2876401836. Its totient is φ = 315463680.

The previous prime is 970103947. The next prime is 970103971. The reversal of 970103952 is 259301079.

It can be written as a sum of positive squares in 2 ways, for example, as 148937616 + 821166336 = 12204^2 + 28656^2 .

It is a super-2 number, since 2×9701039522 = 1882203355372036608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44008 + ... + 62264.

Almost surely, 2970103952 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 970103952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438200918).

970103952 is an abundant number, since it is smaller than the sum of its proper divisors (1906297884).

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

970103952 is a wasteful number, since it uses less digits than its factorization.

970103952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18318 (or 18303 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 970103952 is about 31146.4918088699. The cubic root of 970103952 is about 989.9336594664.

The spelling of 970103952 in words is "nine hundred seventy million, one hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1296 1476 1968 2214 2952 3321 4428 5904 6642 8856 13284 17712 18257 26568 36514 53136 54771 73028 109542 146056 164313 219084 292112 328626 438168 492939 657252 748537 876336 985878 1314504 1478817 1497074 1971756 2245611 2629008 2957634 2994148 3943512 4491222 5915268 5988296 6736833 7887024 8982444 11830536 11976592 13473666 17964888 20210499 23661072 26947332 35929776 40420998 53894664 60631497 80841996 107789328 121262994 161683992 242525988 323367984 485051976 970103952