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40026000 = 243537953
BaseRepresentation
bin1001100010101…
…1111110010000
32210022112100110
42120223332100
540221313000
63545521320
7664133610
oct230537620
983275313
1040026000
1120659143
12114a3240
1383a5631
14545ca40
1537a9850
hex262bf90

40026000 has 160 divisors (see below), whose sum is σ = 147633408. Its totient is φ = 9139200.

The previous prime is 40025981. The next prime is 40026017. The reversal of 40026000 is 62004.

40026000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 31 ways as a sum of consecutive naturals, for example, 41524 + ... + 42476.

Almost surely, 240026000 is an apocalyptic number.

40026000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73816704).

40026000 is an abundant number, since it is smaller than the sum of its proper divisors (107607408).

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

40026000 is a wasteful number, since it uses less digits than its factorization.

40026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 40026000 is about 6326.6104669088. The cubic root of 40026000 is about 342.0692722440.

Adding to 40026000 its reverse (62004), we get a palindrome (40088004).

The spelling of 40026000 in words is "forty million, twenty-six thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 953 1000 1050 1200 1400 1500 1680 1750 1906 2000 2100 2625 2800 2859 3000 3500 3812 4200 4765 5250 5718 6000 6671 7000 7624 8400 9530 10500 11436 13342 14000 14295 15248 19060 20013 21000 22872 23825 26684 28590 33355 38120 40026 42000 45744 47650 53368 57180 66710 71475 76240 80052 95300 100065 106736 114360 119125 133420 142950 160104 166775 190600 200130 228720 238250 266840 285900 320208 333550 357375 381200 400260 476500 500325 533680 571800 667100 714750 800520 833875 953000 1000650 1143600 1334200 1429500 1601040 1667750 1906000 2001300 2501625 2668400 2859000 3335500 4002600 5003250 5718000 6671000 8005200 10006500 13342000 20013000 40026000