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40230456 = 2337435569
BaseRepresentation
bin1001100101110…
…1111000111000
32210200220210220
42121131320320
540244333311
63554140040
7665644650
oct231357070
983626726
1040230456
1120788812
1211581620
138447706
1454b3360
1537ea206
hex265de38

40230456 has 64 divisors (see below), whose sum is σ = 117638400. Its totient is φ = 11225088.

The previous prime is 40230451. The next prime is 40230469. The reversal of 40230456 is 65403204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40230451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4440 + ... + 10008.

It is an arithmetic number, because the mean of its divisors is an integer number (1838100).

Almost surely, 240230456 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 40230456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58819200).

40230456 is an abundant number, since it is smaller than the sum of its proper divisors (77407944).

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

40230456 is a wasteful number, since it uses less digits than its factorization.

40230456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 40230456 is about 6342.7483002244. The cubic root of 40230456 is about 342.6507223745.

The spelling of 40230456 in words is "forty million, two hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 5569 7224 11138 16707 22276 33414 38983 44552 66828 77966 116949 133656 155932 233898 239467 311864 467796 478934 718401 935592 957868 1436802 1676269 1915736 2873604 3352538 5028807 5747208 6705076 10057614 13410152 20115228 40230456