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40491828 = 223213312791
BaseRepresentation
bin1001101001110…
…1101100110100
32211012012100100
42122131230310
540331214303
64003514100
71001113656
oct232355464
984165310
1040491828
1120947123
1211688930
138509680
1455406d6
15384c8a3
hex269db34

40491828 has 72 divisors (see below), whose sum is σ = 113824256. Its totient is φ = 12052800.

The previous prime is 40491827. The next prime is 40491833. The reversal of 40491828 is 82819404.

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

It is a junction number, because it is equal to n+sod(n) for n = 40491792 and 40491801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40491821) 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, 13113 + ... + 15903.

Almost surely, 240491828 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 40491828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56912128).

40491828 is an abundant number, since it is smaller than the sum of its proper divisors (73332428).

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

40491828 is a wasteful number, since it uses less digits than its factorization.

40491828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 40491828 is about 6363.3189453303. The cubic root of 40491828 is about 343.3911734227.

The spelling of 40491828 in words is "forty million, four hundred ninety-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 2791 3627 4836 5582 7254 8373 11164 14508 16746 25119 33492 36283 50238 72566 86521 100476 108849 145132 173042 217698 259563 326547 346084 435396 519126 653094 778689 1038252 1124773 1306188 1557378 2249546 3114756 3374319 4499092 6748638 10122957 13497276 20245914 40491828