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530437032 = 233331372141
BaseRepresentation
bin11111100111011…
…101001110101000
31100222002222211000
4133213131032220
52041242441112
6124345035000
716100432436
oct3747351650
91328088730
10530437032
11252466214
12129785a60
1385b80c88
1450639d56
153187b7dc
hex1f9dd3a8

530437032 has 128 divisors (see below), whose sum is σ = 1562803200. Its totient is φ = 166406400.

The previous prime is 530437021. The next prime is 530437093. The reversal of 530437032 is 230734035.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 530436987 and 530437005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246682 + ... + 248822.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2530437032 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 530437032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781401600).

530437032 is an abundant number, since it is smaller than the sum of its proper divisors (1032366168).

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

530437032 is a wasteful number, since it uses less digits than its factorization.

530437032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 530437032 is about 23031.2186390560. The cubic root of 530437032 is about 809.4896098779.

The spelling of 530437032 in words is "five hundred thirty million, four hundred thirty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 37 54 62 72 74 93 108 111 124 148 186 216 222 248 279 296 333 372 444 558 666 744 837 888 999 1116 1147 1332 1674 1998 2141 2232 2294 2664 3348 3441 3996 4282 4588 6423 6696 6882 7992 8564 9176 10323 12846 13764 17128 19269 20646 25692 27528 30969 38538 41292 51384 57807 61938 66371 77076 79217 82584 115614 123876 132742 154152 158434 199113 231228 237651 247752 265484 316868 398226 462456 475302 530968 597339 633736 712953 796452 950604 1194678 1425906 1592904 1792017 1901208 2138859 2389356 2455727 2851812 3584034 4277718 4778712 4911454 5703624 7168068 7367181 8555436 9822908 14336136 14734362 17110872 19645816 22101543 29468724 44203086 58937448 66304629 88406172 132609258 176812344 265218516 530437032