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40442240 = 275292179
BaseRepresentation
bin1001101001000…
…1100110000000
32211002200022202
42122101212000
540323122430
64002452332
71000516256
oct232214600
984080282
1040442240
1120912943
12116640a8
1384bcc27
14552a5d6
15383cd45
hex2691980

40442240 has 64 divisors (see below), whose sum is σ = 100062000. Its totient is φ = 15611904.

The previous prime is 40442209. The next prime is 40442243. The reversal of 40442240 is 4224404.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442243) 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, 17471 + ... + 19649.

Almost surely, 240442240 is an apocalyptic number.

40442240 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 40442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50031000).

40442240 is an abundant number, since it is smaller than the sum of its proper divisors (59619760).

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

40442240 is a wasteful number, since it uses less digits than its factorization.

40442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 40442240 is about 6359.4213573249. The cubic root of 40442240 is about 343.2509390578.

Adding to 40442240 its reverse (4224404), we get a palindrome (44666644).

The spelling of 40442240 in words is "forty million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2179 2320 3712 4358 4640 8716 9280 10895 17432 18560 21790 34864 43580 63191 69728 87160 126382 139456 174320 252764 278912 315955 348640 505528 631910 697280 1011056 1263820 1394560 2022112 2527640 4044224 5055280 8088448 10110560 20221120 40442240