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532496640 = 28351310667
BaseRepresentation
bin11111101111010…
…100000100000000
31101002222122001210
4133233110010000
52042304343030
6124501130120
716124101224
oct3757240400
91332878053
10532496640
11253642675
1212a3b9940
1386422590
1450a14784
1531b36bb0
hex1fbd4100

532496640 has 144 divisors (see below), whose sum is σ = 1831652928. Its totient is φ = 131063808.

The previous prime is 532496639. The next prime is 532496651. The reversal of 532496640 is 46694235.

It is a super-2 number, since 2×5324966402 = 567105343222579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44587 + ... + 55253.

It is an arithmetic number, because the mean of its divisors is an integer number (12719812).

Almost surely, 2532496640 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 532496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915826464).

532496640 is an abundant number, since it is smaller than the sum of its proper divisors (1299156288).

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

532496640 is a wasteful number, since it uses less digits than its factorization.

532496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704 (or 10690 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 532496640 is about 23075.8887152803. Note that the first 3 decimals coincide. The cubic root of 532496640 is about 810.5359659632.

The spelling of 532496640 in words is "five hundred thirty-two million, four hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 10667 12480 16640 21334 24960 32001 42668 49920 53335 64002 85336 106670 128004 138671 160005 170672 213340 256008 277342 320010 341344 416013 426680 512016 554684 640020 682688 693355 832026 853360 1024032 1109368 1280040 1365376 1386710 1664052 1706720 2048064 2080065 2218736 2560080 2730752 2773420 3328104 3413440 4096128 4160130 4437472 5120160 5546840 6656208 6826880 8192256 8320260 8874944 10240320 11093680 13312416 13653760 16640520 17749888 20480640 22187360 26624832 33281040 35499776 40961280 44374720 53249664 66562080 88749440 106499328 133124160 177498880 266248320 532496640