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252155424 = 25317367421
BaseRepresentation
bin11110000011110…
…01011000100000
3122120110211012210
433001321120200
51004022433144
641004322120
76151200003
oct1701713040
9576424183
10252155424
1111a376114
1270543340
13403187c1
14256bb53a
151720cab9
hexf079620

252155424 has 96 divisors (see below), whose sum is σ = 704422656. Its totient is φ = 78704640.

The previous prime is 252155419. The next prime is 252155429. The reversal of 252155424 is 424551252.

It is an interprime number because it is at equal distance from previous prime (252155419) and next prime (252155429).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 252155391 and 252155400.

It is not an unprimeable number, because it can be changed into a prime (252155429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598734 + ... + 599154.

It is an arithmetic number, because the mean of its divisors is an integer number (7337736).

Almost surely, 2252155424 is an apocalyptic number.

252155424 is a gapful number since it is divisible by the number (24) 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 252155424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352211328).

252155424 is an abundant number, since it is smaller than the sum of its proper divisors (452267232).

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

252155424 is a wasteful number, since it uses less digits than its factorization.

252155424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its digits is 16000, while the sum is 30.

The square root of 252155424 is about 15879.4025076512. The cubic root of 252155424 is about 631.7657894105.

The spelling of 252155424 in words is "two hundred fifty-two million, one hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 367 408 421 544 734 816 842 1101 1263 1468 1632 1684 2202 2526 2936 3368 4404 5052 5872 6239 6736 7157 8808 10104 11744 12478 13472 14314 17616 18717 20208 21471 24956 28628 35232 37434 40416 42942 49912 57256 74868 85884 99824 114512 149736 154507 171768 199648 229024 299472 309014 343536 463521 598944 618028 687072 927042 1236056 1854084 2472112 2626619 3708168 4944224 5253238 7416336 7879857 10506476 14832672 15759714 21012952 31519428 42025904 63038856 84051808 126077712 252155424