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530145408 = 27313176247
BaseRepresentation
bin11111100110010…
…110000010000000
31100221120011210010
4133212112002000
52041204123113
6124334504520
716065106302
oct3746260200
91327504703
10530145408
11252287101
12129665140
1385aab310
14505a1972
15318201c3
hex1f996080

530145408 has 128 divisors (see below), whose sum is σ = 1605985920. Its totient is φ = 153501696.

The previous prime is 530145403. The next prime is 530145437. The reversal of 530145408 is 804541035.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (530145403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81741 + ... + 87987.

It is an arithmetic number, because the mean of its divisors is an integer number (12546765).

Almost surely, 2530145408 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 530145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802992960).

530145408 is an abundant number, since it is smaller than the sum of its proper divisors (1075840512).

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

530145408 is a wasteful number, since it uses less digits than its factorization.

530145408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294 (or 6282 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 530145408 is about 23024.8867098190. The cubic root of 530145408 is about 809.3412354504.

The spelling of 530145408 in words is "five hundred thirty million, one hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3536 4992 5304 6247 6528 7072 10608 12494 14144 18741 21216 24988 28288 37482 42432 49976 74964 81211 84864 99952 106199 149928 162422 199904 212398 243633 299856 318597 324844 399808 424796 487266 599712 637194 649688 799616 849592 974532 1199424 1274388 1299376 1380587 1699184 1949064 2398848 2548776 2598752 2761174 3398368 3898128 4141761 5097552 5197504 5522348 6796736 7796256 8283522 10195104 10395008 11044696 13593472 15592512 16567044 20390208 22089392 31185024 33134088 40780416 44178784 66268176 88357568 132536352 176715136 265072704 530145408