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870135552 = 2832111319139
BaseRepresentation
bin110011110111010…
…011011100000000
32020122022110120200
4303313103130000
53240223314202
6222202005200
730364013226
oct6367233400
92218273520
10870135552
114071947a0
122034a6800
1310b36b310
14837c4b16
15515cce1c
hex33dd3700

870135552 has 432 divisors, whose sum is σ = 3124867200. Its totient is φ = 228925440.

The previous prime is 870135529. The next prime is 870135557. The reversal of 870135552 is 255531078.

870135552 is a `hidden beast` number, since 8 + 70 + 1 + 35 + 552 = 666.

870135552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870135557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6259899 + ... + 6260037.

Almost surely, 2870135552 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 870135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562433600).

870135552 is an abundant number, since it is smaller than the sum of its proper divisors (2254731648).

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

870135552 is a wasteful number, since it uses less digits than its factorization.

870135552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 870135552 is about 29498.0601396092. The cubic root of 870135552 is about 954.6898482072.

It can be divided in two parts, 8701 and 35552, that added together give a triangular number (44253 = T297).

The spelling of 870135552 in words is "eight hundred seventy million, one hundred thirty-five thousand, five hundred fifty-two".