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152080544 = 25711231181
BaseRepresentation
bin10010001000010…
…01000010100000
3101121011111021202
421010021002200
5302413034134
623031340332
73524443340
oct1104110240
9347144252
10152080544
1178933400
1242b216a8
1325679bb5
14162aad20
15d540d7e
hex91090a0

152080544 has 144 divisors (see below), whose sum is σ = 390394368. Its totient is φ = 57024000.

The previous prime is 152080529. The next prime is 152080561. The reversal of 152080544 is 445080251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840134 + ... + 840314.

It is an arithmetic number, because the mean of its divisors is an integer number (2711072).

Almost surely, 2152080544 is an apocalyptic number.

152080544 is a gapful number since it is divisible by the number (14) 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 152080544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197184).

152080544 is an abundant number, since it is smaller than the sum of its proper divisors (238313824).

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

152080544 is a wasteful number, since it uses less digits than its factorization.

152080544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 152080544 is about 12332.0940638644. The cubic root of 152080544 is about 533.7745778984.

The spelling of 152080544 in words is "one hundred fifty-two million, eighty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 121 124 154 176 181 217 224 242 248 308 341 352 362 434 484 496 616 682 724 847 868 968 992 1232 1267 1364 1448 1694 1736 1936 1991 2387 2464 2534 2728 2896 3388 3472 3751 3872 3982 4774 5068 5456 5611 5792 6776 6944 7502 7964 9548 10136 10912 11222 13552 13937 15004 15928 19096 20272 21901 22444 26257 27104 27874 30008 31856 38192 39277 40544 43802 44888 52514 55748 60016 61721 63712 76384 78554 87604 89776 105028 111496 120032 123442 153307 157108 175208 179552 210056 222992 246884 306614 314216 350416 420112 432047 445984 493768 613228 628432 678931 700832 840224 864094 987536 1226456 1256864 1357862 1728188 1975072 2452912 2715724 3456376 4752517 4905824 5431448 6912752 9505034 10862896 13825504 19010068 21725792 38020136 76040272 152080544