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530398368 = 25341712037
BaseRepresentation
bin11111100111010…
…011110010100000
31100222001000210000
4133213103302200
52041240221433
6124344140000
716100211633
oct3747236240
91328030700
10530398368
1125243a165
12129767600
1385b694b6
1450629c1a
1531870113
hex1f9d3ca0

530398368 has 120 divisors (see below), whose sum is σ = 1651782132. Its totient is φ = 166385664.

The previous prime is 530398361. The next prime is 530398373. The reversal of 530398368 is 863893035.

530398368 is a `hidden beast` number, since 530 + 39 + 83 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 509495184 + 20903184 = 22572^2 + 4572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530398361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38046 + ... + 50082.

Almost surely, 2530398368 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 530398368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825891066).

530398368 is an abundant number, since it is smaller than the sum of its proper divisors (1121383764).

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

530398368 is a wasteful number, since it uses less digits than its factorization.

530398368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12076 (or 12059 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 530398368 is about 23030.3792413412. The cubic root of 530398368 is about 809.4699412745.

The spelling of 530398368 in words is "five hundred thirty million, three hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 12037 14688 22032 24074 36111 44064 48148 72222 96296 108333 144444 192592 204629 216666 288888 324999 385184 409258 433332 577776 613887 649998 818516 866664 974997 1155552 1227774 1299996 1637032 1733328 1841661 1949994 2455548 2599992 3274064 3466656 3683322 3899988 4911096 5199984 5524983 6548128 7366644 7799976 9822192 10399968 11049966 14733288 15599952 16574949 19644384 22099932 29466576 31199904 33149898 44199864 58933152 66299796 88399728 132599592 176799456 265199184 530398368