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40874736 = 2437239509
BaseRepresentation
bin1001101111101…
…1001011110000
32211220122121010
42123323023300
540430442421
64020030520
71004300220
oct233731360
984818533
1040874736
1121088881
1211832440
138611a46
145600080
1538c6076
hex26fb2f0

40874736 has 80 divisors (see below), whose sum is σ = 121420800. Its totient is φ = 11606784.

The previous prime is 40874693. The next prime is 40874737. The reversal of 40874736 is 63747804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40874694 and 40874703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40874737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80050 + ... + 80558.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760).

Almost surely, 240874736 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 40874736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710400).

40874736 is an abundant number, since it is smaller than the sum of its proper divisors (80546064).

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

40874736 is a wasteful number, since it uses less digits than its factorization.

40874736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 40874736 is about 6393.3352798051. The cubic root of 40874736 is about 344.4701971110.

The spelling of 40874736 in words is "forty million, eight hundred seventy-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 239 336 478 509 717 956 1018 1434 1527 1673 1912 2036 2868 3054 3346 3563 3824 4072 5019 5736 6108 6692 7126 8144 10038 10689 11472 12216 13384 14252 20076 21378 24432 26768 28504 40152 42756 57008 80304 85512 121651 171024 243302 364953 486604 729906 851557 973208 1459812 1703114 1946416 2554671 2919624 3406228 5109342 5839248 6812456 10218684 13624912 20437368 40874736