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42712500 = 223551767
BaseRepresentation
bin1010001011101…
…1110110110100
32222101000112110
42202323312310
541413300000
64123251020
71026023145
oct242736664
988330473
1042712500
1122123596
1212379a70
138b0638c
14595bacc
153b3a850
hex28bbdb4

42712500 has 144 divisors (see below), whose sum is σ = 133866432. Its totient is φ = 10560000.

The previous prime is 42712499. The next prime is 42712511. The reversal of 42712500 is 521724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637467 + ... + 637533.

It is an arithmetic number, because the mean of its divisors is an integer number (929628).

Almost surely, 242712500 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 42712500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66933216).

42712500 is an abundant number, since it is smaller than the sum of its proper divisors (91153932).

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

42712500 is a wasteful number, since it uses less digits than its factorization.

42712500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 42712500 is about 6535.4800894808. The cubic root of 42712500 is about 349.5572633203.

The spelling of 42712500 in words is "forty-two million, seven hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 67 68 75 85 100 102 125 134 150 170 201 204 250 255 268 300 335 340 375 402 425 500 510 625 670 750 804 850 1005 1020 1139 1250 1275 1340 1500 1675 1700 1875 2010 2125 2278 2500 2550 3125 3350 3417 3750 4020 4250 4556 5025 5100 5695 6250 6375 6700 6834 7500 8375 8500 9375 10050 10625 11390 12500 12750 13668 16750 17085 18750 20100 21250 22780 25125 25500 28475 31875 33500 34170 37500 41875 42500 50250 53125 56950 63750 68340 83750 85425 100500 106250 113900 125625 127500 142375 159375 167500 170850 209375 212500 251250 284750 318750 341700 418750 427125 502500 569500 628125 637500 711875 837500 854250 1256250 1423750 1708500 2135625 2512500 2847500 3559375 4271250 7118750 8542500 10678125 14237500 21356250 42712500