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152612016 = 24353239251
BaseRepresentation
bin10010001100010…
…10110010110000
3101122011111022220
421012022302300
5303032041031
623051001040
73532115664
oct1106126260
9348144286
10152612016
1179166737
1243139180
1325804a8b
14163a88a4
15d5e8596
hex918acb0

152612016 has 80 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 49504000.

The previous prime is 152612011. The next prime is 152612021. The reversal of 152612016 is 610216251.

It is an interprime number because it is at equal distance from previous prime (152612011) and next prime (152612021).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (152612011) by changing a digit.

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, 607891 + ... + 608141.

It is an arithmetic number, because the mean of its divisors is an integer number (5062176).

Almost surely, 2152612016 is an apocalyptic number.

152612016 is a gapful number since it is divisible by the number (16) 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 152612016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

152612016 is an abundant number, since it is smaller than the sum of its proper divisors (252362064).

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

152612016 is a wasteful number, since it uses less digits than its factorization.

152612016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 152612016 is about 12353.6235979570. The cubic root of 152612016 is about 534.3956444540.

Adding to 152612016 its reverse (610216251), we get a palindrome (762828267).

The spelling of 152612016 in words is "one hundred fifty-two million, six hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 239 251 318 424 478 502 636 717 753 848 956 1004 1272 1434 1506 1912 2008 2544 2868 3012 3824 4016 5736 6024 11472 12048 12667 13303 25334 26606 38001 39909 50668 53212 59989 76002 79818 101336 106424 119978 152004 159636 179967 202672 212848 239956 304008 319272 359934 479912 608016 638544 719868 959824 1439736 2879472 3179417 6358834 9538251 12717668 19076502 25435336 38153004 50870672 76306008 152612016