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8532393140 = 22537101114161
BaseRepresentation
bin1111111001001000…
…11111110010110100
3211000122012110222202
413330210133302310
5114433243040030
63530354444032
7421304100515
oct77444376264
924018173882
108532393140
11368934a287
1217a1593618
13a5c92a54b
145ad292a0c
1534e111745
hex1fc91fcb4

8532393140 has 48 divisors (see below), whose sum is σ = 18584660304. Its totient is φ = 3287808000.

The previous prime is 8532393131. The next prime is 8532393151. The reversal of 8532393140 is 413932358.

It can be written as a sum of positive squares in 8 ways, for example, as 3639950224 + 4892442916 = 60332^2 + 69946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8532393094 and 8532393103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17660 + ... + 131820.

It is an arithmetic number, because the mean of its divisors is an integer number (387180423).

Almost surely, 28532393140 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 8532393140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292330152).

8532393140 is an abundant number, since it is smaller than the sum of its proper divisors (10052267164).

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

8532393140 is a wasteful number, since it uses less digits than its factorization.

8532393140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114308 (or 114306 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 8532393140 is about 92370.9539844642. The cubic root of 8532393140 is about 2043.4167670618.

The spelling of 8532393140 in words is "eight billion, five hundred thirty-two million, three hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 370 404 505 740 1010 2020 3737 7474 14948 18685 37370 74740 114161 228322 456644 570805 1141610 2283220 4223957 8447914 11530261 16895828 21119785 23060522 42239570 46121044 57651305 84479140 115302610 230605220 426619657 853239314 1706478628 2133098285 4266196570 8532393140