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40127688 = 2332557329
BaseRepresentation
bin1001100100010…
…0110011001000
32210111200211200
42121010303020
540233041223
63552024200
7665036226
oct231046310
983450750
1040127688
1120718587
1211532060
13840c9c3
145487b16
1537c9a43
hex2644cc8

40127688 has 24 divisors (see below), whose sum is σ = 108679350. Its totient is φ = 13375872.

The previous prime is 40127687. The next prime is 40127693. The reversal of 40127688 is 88672104.

It can be written as a sum of positive squares in only one way, i.e., 22638564 + 17489124 = 4758^2 + 4182^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×401276882 = 3220462688450688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (40127687) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278593 + ... + 278736.

Almost surely, 240127688 is an apocalyptic number.

It is an amenable number.

40127688 is an abundant number, since it is smaller than the sum of its proper divisors (68551662).

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

40127688 is a wasteful number, since it uses less digits than its factorization.

40127688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557341 (or 557334 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 40127688 is about 6334.6418999025. The cubic root of 40127688 is about 342.3587084818.

The spelling of 40127688 in words is "forty million, one hundred twenty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 557329 1114658 1671987 2229316 3343974 4458632 5015961 6687948 10031922 13375896 20063844 40127688