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40738984 = 231113149239
BaseRepresentation
bin1001101101101…
…0000010101000
32211122202101021
42123122002220
540412121414
64013102224
71003163356
oct233320250
984582337
1040738984
1120aa5890
1211787974
138595010
1455a67d6
15389ac24
hex26da0a8

40738984 has 64 divisors (see below), whose sum is σ = 90720000. Its totient is φ = 16907520.

The previous prime is 40738909. The next prime is 40739029. The reversal of 40738984 is 48983704.

It is a self number, because there is not a number n which added to its sum of digits gives 40738984.

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 15 ways as a sum of consecutive naturals, for example, 170337 + ... + 170575.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 240738984 is an apocalyptic number.

40738984 is a gapful number since it is divisible by the number (44) 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 40738984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360000).

40738984 is an abundant number, since it is smaller than the sum of its proper divisors (49981016).

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

40738984 is a wasteful number, since it uses less digits than its factorization.

40738984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 40738984 is about 6382.7097693691. The cubic root of 40738984 is about 344.0884259790.

The spelling of 40738984 in words is "forty million, seven hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 149 239 286 298 478 572 596 956 1144 1192 1639 1912 1937 2629 3107 3278 3874 5258 6214 6556 7748 10516 12428 13112 15496 21032 21307 24856 34177 35611 42614 68354 71222 85228 136708 142444 170456 273416 284888 391721 462943 783442 925886 1566884 1851772 3133768 3703544 5092373 10184746 20369492 40738984