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40396284 = 223217149443
BaseRepresentation
bin1001101000011…
…0010111111100
32211000100021200
42122012113330
540320140114
64001455500
71000235265
oct232062774
984010250
1040396284
1120891365
1211641590
1384a5036
14551796c
15382e409
hex26865fc

40396284 has 72 divisors (see below), whose sum is σ = 109090800. Its totient is φ = 12559872.

The previous prime is 40396277. The next prime is 40396289. The reversal of 40396284 is 48269304.

It is a happy number.

It is a super-3 number, since 3×403962843 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40396289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90967 + ... + 91409.

It is an arithmetic number, because the mean of its divisors is an integer number (1515150).

Almost surely, 240396284 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 40396284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54545400).

40396284 is an abundant number, since it is smaller than the sum of its proper divisors (68694516).

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

40396284 is a wasteful number, since it uses less digits than its factorization.

40396284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 40396284 is about 6355.8071084639. The cubic root of 40396284 is about 343.1208735706.

The spelling of 40396284 in words is "forty million, three hundred ninety-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 149 153 204 298 306 443 447 596 612 886 894 1329 1341 1772 1788 2533 2658 2682 3987 5066 5316 5364 7531 7599 7974 10132 15062 15198 15948 22593 22797 30124 30396 45186 45594 66007 67779 90372 91188 132014 135558 198021 264028 271116 396042 594063 792084 1122119 1188126 2244238 2376252 3366357 4488476 6732714 10099071 13465428 20198142 40396284