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82298952 = 23323730893
BaseRepresentation
bin1001110011111…
…00100001001000
312201212012221100
410321330201020
5132032031302
612055541400
72016346431
oct471744110
9181765840
1082298952
114250146a
122368a860
1314086908
14ad04488
157359d1c
hex4e7c848

82298952 has 48 divisors (see below), whose sum is σ = 228924540. Its totient is φ = 26690688.

The previous prime is 82298939. The next prime is 82298963. The reversal of 82298952 is 25989228.

It can be written as a sum of positive squares in 2 ways, for example, as 80030916 + 2268036 = 8946^2 + 1506^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82298898 and 82298907.

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, 12783 + ... + 18110.

Almost surely, 282298952 is an apocalyptic number.

It is an amenable number.

82298952 is an abundant number, since it is smaller than the sum of its proper divisors (146625588).

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

82298952 is a wasteful number, since it uses less digits than its factorization.

82298952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30942 (or 30935 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 82298952 is about 9071.8769832929. The cubic root of 82298952 is about 434.9754722595.

The spelling of 82298952 in words is "eighty-two million, two hundred ninety-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 30893 61786 92679 123572 185358 247144 278037 370716 556074 741432 1112148 1143041 2224296 2286082 3429123 4572164 6858246 9144328 10287369 13716492 20574738 27432984 41149476 82298952