Search a number
-
+
152421252 = 223171574759
BaseRepresentation
bin10010001010111…
…00001110000100
3101121210210122120
421011130032010
5303004440002
623042525540
73530362554
oct1105341604
9347723576
10152421252
1179046385
12430668b0
1325768cb9
1416359164
15d5abcbc
hex915c384

152421252 has 48 divisors (see below), whose sum is σ = 379048320. Its totient is φ = 47503872.

The previous prime is 152421233. The next prime is 152421271. The reversal of 152421252 is 252124251.

It is an interprime number because it is at equal distance from previous prime (152421233) and next prime (152421271).

It is a super-2 number, since 2×1524212522 = 46464476122495008, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29649 + ... + 34407.

It is an arithmetic number, because the mean of its divisors is an integer number (7896840).

Almost surely, 2152421252 is an apocalyptic number.

152421252 is a gapful number since it is divisible by the number (12) 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 152421252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189524160).

152421252 is an abundant number, since it is smaller than the sum of its proper divisors (226627068).

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

152421252 is a wasteful number, since it uses less digits than its factorization.

152421252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4938 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 152421252 is about 12345.9002101912. The cubic root of 152421252 is about 534.1728879522.

The spelling of 152421252 in words is "one hundred fifty-two million, four hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 157 204 314 471 628 942 1884 2669 4759 5338 8007 9518 10676 14277 16014 19036 28554 32028 57108 80903 161806 242709 323612 485418 747163 970836 1494326 2241489 2988652 4482978 8965956 12701771 25403542 38105313 50807084 76210626 152421252