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40978336 = 257612999
BaseRepresentation
bin1001110001010…
…0011110100000
32212002220201011
42130110132200
540442301321
64022150304
71005211240
oct234243640
985086634
1040978336
11211496a3
1211882394
138649c49
145629b20
1538e6ae1
hex27147a0

40978336 has 48 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 17268480.

The previous prime is 40978309. The next prime is 40978361. The reversal of 40978336 is 63387904.

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 7 ways as a sum of consecutive naturals, for example, 12165 + ... + 15163.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 240978336 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 40978336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

40978336 is an abundant number, since it is smaller than the sum of its proper divisors (52765664).

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

40978336 is a wasteful number, since it uses less digits than its factorization.

40978336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 40978336 is about 6401.4323397190. The cubic root of 40978336 is about 344.7609798599.

It can be divided in two parts, 40978 and 336, that added together give a palindrome (41314).

The spelling of 40978336 in words is "forty million, nine hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 2999 3416 5998 6832 11996 13664 20993 23992 41986 47984 83972 95968 167944 182939 335888 365878 671776 731756 1280573 1463512 2561146 2927024 5122292 5854048 10244584 20489168 40978336