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152035424 = 2561711097
BaseRepresentation
bin10010000111111…
…10000001100000
3101121002012101122
421003332001200
5302410113144
623030351412
73524164652
oct1103760140
9347065348
10152035424
1178902512
1242abb568
13256624b8
14162986d2
15d5327ee
hex90fe060

152035424 has 48 divisors (see below), whose sum is σ = 308792736. Its totient is φ = 73651200.

The previous prime is 152035399. The next prime is 152035447. The reversal of 152035424 is 424530251.

It is a happy number.

It is a super-2 number, since 2×1520354242 = 46229540301719552, which contains 22 as substring.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 1520 and 35424 contains 152035424 itself.

It is a junction number, because it is equal to n+sod(n) for n = 152035393 and 152035402.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 138044 + ... + 139140.

It is an arithmetic number, because the mean of its divisors is an integer number (6433182).

Almost surely, 2152035424 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 152035424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154396368).

152035424 is an abundant number, since it is smaller than the sum of its proper divisors (156757312).

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

152035424 is a wasteful number, since it uses less digits than its factorization.

152035424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 152035424 is about 12330.2645551505. The cubic root of 152035424 is about 533.7217850592.

Adding to 152035424 its reverse (424530251), we get a palindrome (576565675).

The spelling of 152035424 in words is "one hundred fifty-two million, thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 71 122 142 244 284 488 568 976 1097 1136 1952 2194 2272 4331 4388 8662 8776 17324 17552 34648 35104 66917 69296 77887 133834 138592 155774 267668 311548 535336 623096 1070672 1246192 2141344 2492384 4751107 9502214 19004428 38008856 76017712 152035424