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40830144 = 263297333
BaseRepresentation
bin1001101111000…
…0010011000000
32211211101102120
42123300103000
540423031034
64015044240
71004023215
oct233602300
984741376
1040830144
1121058323
1211810680
1385c7664
1455cbb0c
1538b7c49
hex26f04c0

40830144 has 56 divisors (see below), whose sum is σ = 111770160. Its totient is φ = 13138944.

The previous prime is 40830133. The next prime is 40830149. The reversal of 40830144 is 44103804.

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

It is not an unprimeable number, because it can be changed into a prime (40830149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1902 + ... + 9234.

Almost surely, 240830144 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 40830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55885080).

40830144 is an abundant number, since it is smaller than the sum of its proper divisors (70940016).

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

40830144 is a wasteful number, since it uses less digits than its factorization.

40830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7377 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40830144 is about 6389.8469465238. The cubic root of 40830144 is about 344.3448857674.

Adding to 40830144 its reverse (44103804), we get a palindrome (84933948).

The spelling of 40830144 in words is "forty million, eight hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 7333 14666 21999 29332 43998 58664 87996 117328 175992 212657 234656 351984 425314 469312 637971 703968 850628 1275942 1407936 1701256 2551884 3402512 5103768 6805024 10207536 13610048 20415072 40830144