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40122456 = 23311379401
BaseRepresentation
bin1001100100001…
…1100001011000
32210111102122220
42121003201120
540232404311
63551544040
7665015043
oct231034130
983442586
1040122456
1120714660
121152b020
13840a4ca
145485c5a
1537c8206
hex2643858

40122456 has 64 divisors (see below), whose sum is σ = 109987200. Its totient is φ = 12096000.

The previous prime is 40122437. The next prime is 40122461. The reversal of 40122456 is 65422104.

It is a super-2 number, since 2×401224562 = 3219622950943872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99856 + ... + 100256.

It is an arithmetic number, because the mean of its divisors is an integer number (1718550).

Almost surely, 240122456 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 40122456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54993600).

40122456 is an abundant number, since it is smaller than the sum of its proper divisors (69864744).

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

40122456 is a wasteful number, since it uses less digits than its factorization.

40122456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 40122456 is about 6334.2289191345. The cubic root of 40122456 is about 342.3438284932.

The spelling of 40122456 in words is "forty million, one hundred twenty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 379 401 758 802 1137 1203 1516 1604 2274 2406 3032 3208 4169 4411 4548 4812 8338 8822 9096 9624 12507 13233 16676 17644 25014 26466 33352 35288 50028 52932 100056 105864 151979 303958 455937 607916 911874 1215832 1671769 1823748 3343538 3647496 5015307 6687076 10030614 13374152 20061228 40122456