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3525897960 = 2332513827911
BaseRepresentation
bin1101001000101000…
…1110111011101000
3100002201121011201100
43102022032323220
524210112213320
61341512121400
7153242431614
oct32212167350
910081534640
103525897960
11154a306362
12824996260
13442636470
142563c0344
15159825790
hexd228eee8

3525897960 has 192 divisors, whose sum is σ = 12369127680. Its totient is φ = 865912320.

The previous prime is 3525897913. The next prime is 3525897979. The reversal of 3525897960 is 697985253.

3525897960 is a `hidden beast` number, since 3 + 52 + 589 + 7 + 9 + 6 + 0 = 666.

3525897960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3525897897 and 3525897906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3869905 + ... + 3870815.

It is an arithmetic number, because the mean of its divisors is an integer number (64422540).

Almost surely, 23525897960 is an apocalyptic number.

3525897960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3525897960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184563840).

3525897960 is an abundant number, since it is smaller than the sum of its proper divisors (8843229720).

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

3525897960 is a wasteful number, since it uses less digits than its factorization.

3525897960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 3525897960 is about 59379.2721410426. The cubic root of 3525897960 is about 1522.0301186134.

The spelling of 3525897960 in words is "three billion, five hundred twenty-five million, eight hundred ninety-seven thousand, nine hundred sixty".