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264000152 = 23137135753
BaseRepresentation
bin11111011110001…
…01001010011000
3200101202121010102
433233011022120
51020041001102
642110234532
76353651513
oct1757051230
9611677112
10264000152
11126026249
12744b5a48
1342904c10
14270c1d7a
151829c402
hexfbc5298

264000152 has 32 divisors (see below), whose sum is σ = 540600480. Its totient is φ = 120126720.

The previous prime is 264000151. The next prime is 264000173. The reversal of 264000152 is 251000462.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264000151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10493 + ... + 25260.

It is an arithmetic number, because the mean of its divisors is an integer number (16893765).

Almost surely, 2264000152 is an apocalyptic number.

It is an amenable number.

264000152 is an abundant number, since it is smaller than the sum of its proper divisors (276600328).

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

264000152 is a wasteful number, since it uses less digits than its factorization.

264000152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35843 (or 35839 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 264000152 is about 16248.0814867479. The cubic root of 264000152 is about 641.5069891166.

The spelling of 264000152 in words is "two hundred sixty-four million, one hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 52 71 104 142 284 568 923 1846 3692 7384 35753 71506 143012 286024 464789 929578 1859156 2538463 3718312 5076926 10153852 20307704 33000019 66000038 132000076 264000152