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40112016 = 2437313851
BaseRepresentation
bin1001100100000…
…0111110010000
32210110220100020
42121000332100
540232041031
63551423440
7664642440
oct231007620
983426306
1040112016
112070782a
1211524b80
138405829
145482120
1537c5096
hex2640f90

40112016 has 80 divisors (see below), whose sum is σ = 122277888. Its totient is φ = 11088000.

The previous prime is 40112003. The next prime is 40112081. The reversal of 40112016 is 61021104.

It is a junction number, because it is equal to n+sod(n) for n = 40111986 and 40112004.

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, 8491 + ... + 12341.

Almost surely, 240112016 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 40112016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61138944).

40112016 is an abundant number, since it is smaller than the sum of its proper divisors (82165872).

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

40112016 is a wasteful number, since it uses less digits than its factorization.

40112016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 40112016 is about 6333.4047715269. The cubic root of 40112016 is about 342.3141329066.

The spelling of 40112016 in words is "forty million, one hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 3851 5208 7702 10416 11553 15404 23106 26957 30808 46212 53914 61616 80871 92424 107828 119381 161742 184848 215656 238762 323484 358143 431312 477524 646968 716286 835667 955048 1293936 1432572 1671334 1910096 2507001 2865144 3342668 5014002 5730288 6685336 10028004 13370672 20056008 40112016