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152244520 = 23517241929
BaseRepresentation
bin10010001001100…
…01000100101000
3101121110211012221
421010301010220
5302433311040
623035043424
73526025401
oct1104610450
9347424187
10152244520
1178a3561a
1242ba0574
132570671c
14163109a8
15d57474a
hex9131128

152244520 has 64 divisors (see below), whose sum is σ = 364597200. Its totient is φ = 57016320.

The previous prime is 152244509. The next prime is 152244527. The reversal of 152244520 is 25442251.

It can be written as a sum of positive squares in 8 ways, for example, as 58890276 + 93354244 = 7674^2 + 9662^2 .

It is not an unprimeable number, because it can be changed into a prime (152244527) 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, 163416 + ... + 164344.

Almost surely, 2152244520 is an apocalyptic number.

152244520 is a gapful number since it is divisible by the number (10) 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 152244520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182298600).

152244520 is an abundant number, since it is smaller than the sum of its proper divisors (212352680).

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

152244520 is a wasteful number, since it uses less digits than its factorization.

152244520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 152244520 is about 12338.7406164487. The cubic root of 152244520 is about 533.9663508000.

Adding to 152244520 its reverse (25442251), we get a palindrome (177686771).

The spelling of 152244520 in words is "one hundred fifty-two million, two hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 241 340 482 680 929 964 1205 1858 1928 2410 3716 4097 4645 4820 7432 8194 9290 9640 15793 16388 18580 20485 31586 32776 37160 40970 63172 78965 81940 126344 157930 163880 223889 315860 447778 631720 895556 1119445 1791112 2238890 3806113 4477780 7612226 8955560 15224452 19030565 30448904 38061130 76122260 152244520