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152041284 = 223241239431
BaseRepresentation
bin10010000111111…
…11011101000100
3101121002111102200
421003333131010
5302410310114
623030434500
73524221023
oct1103773504
9347074380
10152041284
117890695a
1242b02a30
1325665075
141629a8ba
15d534409
hex90ff744

152041284 has 72 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 49123200.

The previous prime is 152041283. The next prime is 152041303. The reversal of 152041284 is 482140251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152041283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352549 + ... + 352979.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2152041284 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 152041284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

152041284 is an abundant number, since it is smaller than the sum of its proper divisors (244223676).

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

152041284 is a wasteful number, since it uses less digits than its factorization.

152041284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 152041284 is about 12330.5021795546. The cubic root of 152041284 is about 533.7286421662.

The spelling of 152041284 in words is "one hundred fifty-two million, forty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 239 246 369 431 478 492 717 738 862 956 1293 1434 1476 1724 2151 2586 2868 3879 4302 5172 7758 8604 9799 15516 17671 19598 29397 35342 39196 53013 58794 70684 88191 103009 106026 117588 159039 176382 206018 212052 309027 318078 352764 412036 618054 636156 927081 1236108 1854162 3708324 4223369 8446738 12670107 16893476 25340214 38010321 50680428 76020642 152041284