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40749400 = 2352673041
BaseRepresentation
bin1001101101110…
…0100101011000
32211200021200001
42123130211120
540412440100
64013222344
71003235626
oct233344530
984607601
1040749400
112100269a
12117919b4
138599993
1455aa516
15389dd6a
hex26dc958

40749400 has 48 divisors (see below), whose sum is σ = 96188040. Its totient is φ = 16051200.

The previous prime is 40749383. The next prime is 40749413. The reversal of 40749400 is 494704.

40749400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11880 + ... + 14920.

Almost surely, 240749400 is an apocalyptic number.

40749400 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 40749400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48094020).

40749400 is an abundant number, since it is smaller than the sum of its proper divisors (55438640).

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

40749400 is a wasteful number, since it uses less digits than its factorization.

40749400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 40749400 is about 6383.5256716019. The cubic root of 40749400 is about 344.1177485859.

The spelling of 40749400 in words is "forty million, seven hundred forty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3041 3350 6082 6700 12164 13400 15205 24328 30410 60820 76025 121640 152050 203747 304100 407494 608200 814988 1018735 1629976 2037470 4074940 5093675 8149880 10187350 20374700 40749400