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40400112 = 243978677
BaseRepresentation
bin1001101000011…
…1010011110000
32211000112112110
42122013103300
540320300422
64001525320
71000252404
oct232072360
984015473
1040400112
1120894225
1211643840
1384a69bc
145519104
15383060c
hex26874f0

40400112 has 40 divisors (see below), whose sum is σ = 105455056. Its totient is φ = 13326336.

The previous prime is 40400093. The next prime is 40400123. The reversal of 40400112 is 21100404.

It is a super-2 number, since 2×404001122 = 3264338099225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 8994.

Almost surely, 240400112 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 40400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52727528).

40400112 is an abundant number, since it is smaller than the sum of its proper divisors (65054944).

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

40400112 is a wasteful number, since it uses less digits than its factorization.

40400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8785 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 40400112 is about 6356.1082432570. The cubic root of 40400112 is about 343.1317114092.

Adding to 40400112 its reverse (21100404), we get a palindrome (61500516).

The spelling of 40400112 in words is "forty million, four hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4656 8677 17354 26031 34708 52062 69416 104124 138832 208248 416496 841669 1683338 2525007 3366676 5050014 6733352 10100028 13466704 20200056 40400112