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40988628 = 223210111273
BaseRepresentation
bin1001110001011…
…0111111010100
32212010102211100
42130112333110
540443114003
64022310100
71005253242
oct234267724
985112740
1040988628
11211563aa
1211888330
138651835
14562d792
1538e9ba3
hex2716fd4

40988628 has 36 divisors (see below), whose sum is σ = 104645268. Its totient is φ = 13526400.

The previous prime is 40988621. The next prime is 40988641. The reversal of 40988628 is 82688904.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27060804 + 13927824 = 5202^2 + 3732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40988621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2001 + ... + 9272.

It is an arithmetic number, because the mean of its divisors is an integer number (2906813).

Almost surely, 240988628 is an apocalyptic number.

It is an amenable number.

40988628 is an abundant number, since it is smaller than the sum of its proper divisors (63656640).

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

40988628 is a wasteful number, since it uses less digits than its factorization.

40988628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11384 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 40988628 is about 6402.2361718387. The cubic root of 40988628 is about 344.7898404997.

It can be divided in two parts, 40988 and 628, that added together give a triangular number (41616 = T288).

The spelling of 40988628 in words is "forty million, nine hundred eighty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 11273 22546 33819 45092 67638 101457 135276 202914 405828 1138573 2277146 3415719 4554292 6831438 10247157 13662876 20494314 40988628