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253924152 = 233412111223
BaseRepresentation
bin11110010001010…
…01001100111000
3122200210200110020
433020221030320
51010001033102
641110250440
76202214436
oct1710511470
9580720406
10253924152
11120373a79
1271056a20
13407b78a1
1425a1bd56
151745bbbc
hexf229338

253924152 has 64 divisors (see below), whose sum is σ = 653909760. Its totient is φ = 82118400.

The previous prime is 253924147. The next prime is 253924169. The reversal of 253924152 is 251429352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207013 + ... + 208235.

It is an arithmetic number, because the mean of its divisors is an integer number (10217340).

Almost surely, 2253924152 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 253924152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326954880).

253924152 is an abundant number, since it is smaller than the sum of its proper divisors (399985608).

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

253924152 is a wasteful number, since it uses less digits than its factorization.

253924152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1480 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 253924152 is about 15934.9977094445. The cubic root of 253924152 is about 633.2395091545.

The spelling of 253924152 in words is "two hundred fifty-three million, nine hundred twenty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 211 246 328 422 492 633 844 984 1223 1266 1688 2446 2532 3669 4892 5064 7338 8651 9784 14676 17302 25953 29352 34604 50143 51906 69208 100286 103812 150429 200572 207624 258053 300858 401144 516106 601716 774159 1032212 1203432 1548318 2064424 3096636 6193272 10580173 21160346 31740519 42320692 63481038 84641384 126962076 253924152