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152082744 = 233114313397
BaseRepresentation
bin10010001000010…
…01100100111000
3101121011121022020
421010021210320
5302413121434
623031354440
73524452632
oct1104114470
9347147266
10152082744
1178935020
1242b22a20
132567abb8
14162aba52
15d541849
hex9109938

152082744 has 64 divisors (see below), whose sum is σ = 424448640. Its totient is φ = 45010560.

The previous prime is 152082727. The next prime is 152082769. The reversal of 152082744 is 447280251.

It is a super-2 number, since 2×1520827442 = 46258322045139072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4654 + ... + 18050.

It is an arithmetic number, because the mean of its divisors is an integer number (6632010).

Almost surely, 2152082744 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 152082744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212224320).

152082744 is an abundant number, since it is smaller than the sum of its proper divisors (272365896).

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

152082744 is a wasteful number, since it uses less digits than its factorization.

152082744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13460 (or 13456 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 152082744 is about 12332.1832616938. The cubic root of 152082744 is about 533.7771517504. Note that the first 3 decimals are identical.

The spelling of 152082744 in words is "one hundred fifty-two million, eighty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 13397 26794 40191 53588 80382 107176 147367 160764 294734 321528 442101 576071 589468 884202 1152142 1178936 1728213 1768404 2304284 3456426 3536808 4608568 6336781 6912852 12673562 13825704 19010343 25347124 38020686 50694248 76041372 152082744