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40079754 = 232111323677
BaseRepresentation
bin1001100011100…
…1000110001010
32210102021002100
42120321012022
540230023004
63551014230
7664446411
oct230710612
983367070
1040079754
1120695570
121150a376
1383c3c40
145474478
1537ba739
hex263918a

40079754 has 96 divisors (see below), whose sum is σ = 106614144. Its totient is φ = 10707840.

The previous prime is 40079737. The next prime is 40079783. The reversal of 40079754 is 45797004.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 58864 + ... + 59540.

It is an arithmetic number, because the mean of its divisors is an integer number (1110564).

Almost surely, 240079754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40079754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53307072).

40079754 is an abundant number, since it is smaller than the sum of its proper divisors (66534390).

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

40079754 is a wasteful number, since it uses less digits than its factorization.

40079754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 40079754 is about 6330.8572879192. The cubic root of 40079754 is about 342.2223341407. Note that the first 3 decimals are identical.

The spelling of 40079754 in words is "forty million, seventy-nine thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 11 13 18 22 23 26 33 39 46 66 69 78 99 117 138 143 198 207 234 253 286 299 414 429 506 598 677 759 858 897 1287 1354 1518 1794 2031 2277 2574 2691 3289 4062 4554 5382 6093 6578 7447 8801 9867 12186 14894 15571 17602 19734 22341 26403 29601 31142 44682 46713 52806 59202 67023 79209 93426 96811 134046 140139 158418 171281 193622 202423 280278 290433 342562 404846 513843 580866 607269 871299 1027686 1214538 1541529 1742598 1821807 2226653 3083058 3643614 4453306 6679959 13359918 20039877 40079754