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40083750 = 232547509
BaseRepresentation
bin1001100011101…
…0000100100110
32210102110120100
42120322010212
540230140000
63551044530
7664464150
oct230720446
983373510
1040083750
1120698573
1211510746
1383c59c5
145475ad0
1537bba00
hex263a126

40083750 has 120 divisors (see below), whose sum is σ = 124272720. Its totient is φ = 9144000.

The previous prime is 40083737. The next prime is 40083763. The reversal of 40083750 is 5738004.

It is an interprime number because it is at equal distance from previous prime (40083737) and next prime (40083763).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78496 + ... + 79004.

It is an arithmetic number, because the mean of its divisors is an integer number (1035606).

Almost surely, 240083750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40083750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62136360).

40083750 is an abundant number, since it is smaller than the sum of its proper divisors (84188970).

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

40083750 is a wasteful number, since it uses less digits than its factorization.

40083750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40083750 is about 6331.1728771216. The cubic root of 40083750 is about 342.2337070898.

The spelling of 40083750 in words is "forty million, eighty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 125 126 150 175 210 225 250 315 350 375 450 509 525 625 630 750 875 1018 1050 1125 1250 1527 1575 1750 1875 2250 2545 2625 3054 3150 3563 3750 4375 4581 5090 5250 5625 7126 7635 7875 8750 9162 10689 11250 12725 13125 15270 15750 17815 21378 22905 25450 26250 32067 35630 38175 39375 45810 53445 63625 64134 76350 78750 89075 106890 114525 127250 160335 178150 190875 229050 267225 318125 320670 381750 445375 534450 572625 636250 801675 890750 954375 1145250 1336125 1603350 1908750 2226875 2672250 2863125 4008375 4453750 5726250 6680625 8016750 13361250 20041875 40083750