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532677960 = 233253159809
BaseRepresentation
bin11111110000000…
…000010101001000
31101010022211210100
4133300000111020
52042331143320
6124505045400
716125454653
oct3760002510
91333284710
10532677960
11253756921
1212a486860
1386486c79
1450a6089a
1531b70790
hex1fc00548

532677960 has 192 divisors, whose sum is σ = 1819584000. Its totient is φ = 134968320.

The previous prime is 532677889. The next prime is 532677967. The reversal of 532677960 is 69776235.

532677960 = T235 + T236 + ... + T1474.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (532677967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658036 + ... + 658844.

It is an arithmetic number, because the mean of its divisors is an integer number (9477000).

Almost surely, 2532677960 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 532677960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909792000).

532677960 is an abundant number, since it is smaller than the sum of its proper divisors (1286906040).

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

532677960 is a wasteful number, since it uses less digits than its factorization.

532677960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 532677960 is about 23079.8171569881. The cubic root of 532677960 is about 810.6279538384.

The spelling of 532677960 in words is "five hundred thirty-two million, six hundred seventy-seven thousand, nine hundred sixty".