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532705488 = 243731199257
BaseRepresentation
bin11111110000000…
…111000011010000
31101010101020112220
4133300013003100
52042333033423
6124505421040
716125631140
oct3760070320
91333336486
10532705488
11253775577
1212a49a780
1386496663
1450a6a920
1531b789e3
hex1fc070d0

532705488 has 160 divisors (see below), whose sum is σ = 1637990400. Its totient is φ = 145981440.

The previous prime is 532705487. The next prime is 532705517. The reversal of 532705488 is 884507235.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532705483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2072656 + ... + 2072912.

It is an arithmetic number, because the mean of its divisors is an integer number (10237440).

Almost surely, 2532705488 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 532705488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818995200).

532705488 is an abundant number, since it is smaller than the sum of its proper divisors (1105284912).

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

532705488 is a wasteful number, since it uses less digits than its factorization.

532705488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 532705488 is about 23080.4135144932. The cubic root of 532705488 is about 810.6419176111.

The spelling of 532705488 in words is "five hundred thirty-two million, seven hundred five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 199 217 248 257 336 372 398 434 496 514 597 651 744 771 796 868 1028 1194 1302 1393 1488 1542 1592 1736 1799 2056 2388 2604 2786 3084 3184 3472 3598 4112 4179 4776 5208 5397 5572 6168 6169 7196 7967 8358 9552 10416 10794 11144 12336 12338 14392 15934 16716 18507 21588 22288 23901 24676 28784 31868 33432 37014 43176 43183 47802 49352 51143 55769 63736 66864 74028 86352 86366 95604 98704 102286 111538 127472 129549 148056 153429 167307 172732 191208 204572 223076 259098 296112 306858 334614 345464 358001 382416 409144 446152 518196 613716 669228 690928 716002 818288 892304 1036392 1074003 1227432 1338456 1432004 1585433 2072784 2148006 2454864 2676912 2864008 3170866 4296012 4756299 5728016 6341732 8592024 9512598 11098031 12683464 17184048 19025196 22196062 25366928 33294093 38050392 44392124 66588186 76100784 88784248 133176372 177568496 266352744 532705488