Search a number
-
+
40307988 = 223741399
BaseRepresentation
bin1001100111000…
…0110100010100
32210211212011110
42121300310110
540304323423
63555535020
7666420000
oct231606424
983755143
1040307988
1120830a96
12115ba470
138473aa6
1454d3700
153813193
hex2670d14

40307988 has 60 divisors (see below), whose sum is σ = 109799200. Its totient is φ = 11508336.

The previous prime is 40307957. The next prime is 40308001. The reversal of 40307988 is 88970304.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28113 + ... + 29511.

Almost surely, 240307988 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 40307988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54899600).

40307988 is an abundant number, since it is smaller than the sum of its proper divisors (69491212).

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

40307988 is a wasteful number, since it uses less digits than its factorization.

40307988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 40307988 is about 6348.8572200042. The cubic root of 40307988 is about 342.8706995632.

The spelling of 40307988 in words is "forty million, three hundred seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 1399 2058 2401 2798 4116 4197 4802 5596 7203 8394 9604 9793 14406 16788 19586 28812 29379 39172 58758 68551 117516 137102 205653 274204 411306 479857 822612 959714 1439571 1919428 2879142 3358999 5758284 6717998 10076997 13435996 20153994 40307988