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40506246 = 232111491373
BaseRepresentation
bin1001101010000…
…1001110000110
32211012221010100
42122201032012
540332144441
64004104530
71001204004
oct232411606
984187110
1040506246
1120956a40
1211695146
1385130c1
145545a74
153851cb6
hex26a1386

40506246 has 48 divisors (see below), whose sum is σ = 96454800. Its totient is φ = 12183360.

The previous prime is 40506239. The next prime is 40506283. The reversal of 40506246 is 64260504.

It is a happy number.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 28816 + ... + 30188.

It is an arithmetic number, because the mean of its divisors is an integer number (2009475).

Almost surely, 240506246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40506246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48227400).

40506246 is an abundant number, since it is smaller than the sum of its proper divisors (55948554).

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

40506246 is a wasteful number, since it uses less digits than its factorization.

40506246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40506246 is about 6364.4517438661. The cubic root of 40506246 is about 343.4319258960.

It can be divided in two parts, 4050 and 6246, that added together give a triangular number (10296 = T143).

The spelling of 40506246 in words is "forty million, five hundred six thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 149 198 298 447 894 1341 1373 1639 2682 2746 3278 4119 4917 8238 9834 12357 14751 15103 24714 29502 30206 45309 90618 135927 204577 271854 409154 613731 1227462 1841193 2250347 3682386 4500694 6751041 13502082 20253123 40506246