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152651024 = 24175310589
BaseRepresentation
bin10010001100101…
…00010100010000
3101122020110211122
421012110110100
5303034313044
623051501412
73532340501
oct1106242420
9348213748
10152651024
1179192a79
1243157868
1325819766
14163b8ba8
15d604dee
hex9194510

152651024 has 40 divisors (see below), whose sum is σ = 319097880. Its totient is φ = 70473728.

The previous prime is 152651003. The next prime is 152651029. The reversal of 152651024 is 420156251.

It can be written as a sum of positive squares in 4 ways, for example, as 28729600 + 123921424 = 5360^2 + 11132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 152650984 and 152651002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152651029) 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, 9122 + ... + 19710.

It is an arithmetic number, because the mean of its divisors is an integer number (7977447).

Almost surely, 2152651024 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 152651024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159548940).

152651024 is an abundant number, since it is smaller than the sum of its proper divisors (166446856).

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

152651024 is a wasteful number, since it uses less digits than its factorization.

152651024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10667 (or 10661 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 152651024 is about 12355.2023051021. The cubic root of 152651024 is about 534.4411715145.

The spelling of 152651024 in words is "one hundred fifty-two million, six hundred fifty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1802 3604 7208 10589 14416 21178 42356 84712 169424 180013 360026 561217 720052 1122434 1440104 2244868 2880208 4489736 8979472 9540689 19081378 38162756 76325512 152651024