Search a number
-
+
40788188 = 227431137
BaseRepresentation
bin1001101110011…
…0000011011100
32211202020212122
42123212003130
540420210223
64014122112
71003460000
oct233460334
984666778
1040788188
1121029851
12117b0338
1385b152c
1455ba700
1538aa5c8
hex26e60dc

40788188 has 60 divisors (see below), whose sum is σ = 86584512. Its totient is φ = 16793280.

The previous prime is 40788179. The next prime is 40788211. The reversal of 40788188 is 88188704.

40788188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297656 + ... + 297792.

Almost surely, 240788188 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 40788188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43292256).

40788188 is an abundant number, since it is smaller than the sum of its proper divisors (45796324).

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

40788188 is a wasteful number, since it uses less digits than its factorization.

40788188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 44.

The square root of 40788188 is about 6386.5630819714. The cubic root of 40788188 is about 344.2268987117.

The spelling of 40788188 in words is "forty million, seven hundred eighty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 137 196 217 274 343 434 548 686 868 959 1372 1519 1918 2401 3038 3836 4247 4802 6076 6713 8494 9604 10633 13426 16988 21266 26852 29729 42532 46991 59458 74431 93982 118916 148862 187964 208103 297724 328937 416206 657874 832412 1315748 1456721 2913442 5826884 10197047 20394094 40788188