Search a number
-
+
40483840 = 21057907
BaseRepresentation
bin1001101001101…
…1110000000000
32211011210101111
42122123300000
540330440330
64003413104
71001051455
oct232336000
984153344
1040483840
1120941121
1211684194
138505b47
14553b82c
15384a32a
hex269bc00

40483840 has 44 divisors (see below), whose sum is σ = 97126056. Its totient is φ = 16191488.

The previous prime is 40483801. The next prime is 40483843. The reversal of 40483840 is 4838404.

It is a super-2 number, since 2×404838402 = 3277882602291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40483843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1167 + ... + 9073.

Almost surely, 240483840 is an apocalyptic number.

40483840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48563028).

40483840 is an abundant number, since it is smaller than the sum of its proper divisors (56642216).

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

40483840 is an equidigital number, since it uses as much as digits as its factorization.

40483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7932 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 40483840 is about 6362.6912544929. The cubic root of 40483840 is about 343.3685911781.

The spelling of 40483840 in words is "forty million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 7907 15814 31628 39535 63256 79070 126512 158140 253024 316280 506048 632560 1012096 1265120 2024192 2530240 4048384 5060480 8096768 10120960 20241920 40483840