Search a number
-
+
40420944 = 243431189
BaseRepresentation
bin1001101000110…
…0011001010000
32211001121010000
42122030121100
540321432234
64002210000
71000400214
oct232143120
984047100
1040420944
11208a8943
1211653900
1384b3325
145522944
153836899
hex268c650

40420944 has 50 divisors (see below), whose sum is σ = 116993690. Its totient is φ = 13473216.

The previous prime is 40420937. The next prime is 40420949. The reversal of 40420944 is 44902404.

It can be written as a sum of positive squares in only one way, i.e., 26132544 + 14288400 = 5112^2 + 3780^2 .

It is a super-2 number, since 2×404209442 = 3267705427702272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40420949) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14299 + ... + 16890.

Almost surely, 240420944 is an apocalyptic number.

It is an amenable number.

40420944 is an abundant number, since it is smaller than the sum of its proper divisors (76572746).

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

40420944 is a wasteful number, since it uses less digits than its factorization.

40420944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31209 (or 31194 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40420944 is about 6357.7467706728. The cubic root of 40420944 is about 343.1906789977.

The spelling of 40420944 in words is "forty million, four hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 31189 62378 93567 124756 187134 249512 280701 374268 499024 561402 748536 842103 1122804 1497072 1684206 2245608 2526309 3368412 4491216 5052618 6736824 10105236 13473648 20210472 40420944