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40756906 = 237619029
BaseRepresentation
bin1001101101111…
…0011010101010
32211200122222001
42123132122222
540413210111
64013321214
71003266541
oct233363252
984618861
1040756906
11210082a3
121179620a
1385a0218
1455ad158
1538a11c1
hex26de6aa

40756906 has 16 divisors (see below), whose sum is σ = 63824040. Its totient is φ = 19500480.

The previous prime is 40756883. The next prime is 40756907. The reversal of 40756906 is 60965704.

40756906 is a nontrivial binomial coefficient, being equal to C(9029, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 40386025 + 370881 = 6355^2 + 609^2 .

It is a super-2 number, since 2×407569062 = 3322250773385672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (40756907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 9028.

Almost surely, 240756906 is an apocalyptic number.

40756906 is the 9028-th triangular number.

40756906 is the 3010-th centered nonagonal number.

40756906 is a deficient number, since it is larger than the sum of its proper divisors (23067134).

40756906 is a wasteful number, since it uses less digits than its factorization.

40756906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9129.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 40756906 is about 6384.1135641528. The cubic root of 40756906 is about 344.1388760073.

The spelling of 40756906 in words is "forty million, seven hundred fifty-six thousand, nine hundred six".

Divisors: 1 2 37 61 74 122 2257 4514 9029 18058 334073 550769 668146 1101538 20378453 40756906