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40922496 = 27343947
BaseRepresentation
bin1001110000011…
…0110110000000
32212000002010000
42130012312000
540434004441
64021040000
71004556366
oct234066600
985002100
1040922496
112111074a
1211856000
13862a6c4
145613636
1538d52b6
hex2706d80

40922496 has 80 divisors (see below), whose sum is σ = 121815540. Its totient is φ = 13637376.

The previous prime is 40922437. The next prime is 40922503. The reversal of 40922496 is 69422904.

40922496 is a `hidden beast` number, since 409 + 2 + 249 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40922496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8395 + ... + 12341.

Almost surely, 240922496 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 40922496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60907770).

40922496 is an abundant number, since it is smaller than the sum of its proper divisors (80893044).

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

40922496 is an equidigital number, since it uses as much as digits as its factorization.

40922496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40922496 is about 6397.0693289975. The cubic root of 40922496 is about 344.6043100510.

The spelling of 40922496 in words is "forty million, nine hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 3947 5184 7894 10368 11841 15788 23682 31576 35523 47364 63152 71046 94728 106569 126304 142092 189456 213138 252608 284184 319707 378912 426276 505216 568368 639414 757824 852552 1136736 1278828 1515648 1705104 2273472 2557656 3410208 4546944 5115312 6820416 10230624 13640832 20461248 40922496