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40114032 = 2437277431
BaseRepresentation
bin1001100100000…
…1011101110000
32210111000002220
42121001131300
540232122112
63551441040
7664651350
oct231013560
983430086
1040114032
11207092a2
1211526180
13840671a
145482b60
1537c598c
hex2641770

40114032 has 80 divisors (see below), whose sum is σ = 119135232. Its totient is φ = 11393280.

The previous prime is 40114021. The next prime is 40114037. The reversal of 40114032 is 23041104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40114037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92857 + ... + 93287.

Almost surely, 240114032 is an apocalyptic number.

40114032 is a gapful number since it is divisible by the number (42) 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 40114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59567616).

40114032 is an abundant number, since it is smaller than the sum of its proper divisors (79021200).

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

40114032 is a wasteful number, since it uses less digits than its factorization.

40114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40114032 is about 6333.5639256267. The cubic root of 40114032 is about 342.3198676281.

Adding to 40114032 its reverse (23041104), we get a palindrome (63155136).

The spelling of 40114032 in words is "forty million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 277 336 431 554 831 862 1108 1293 1662 1724 1939 2216 2586 3017 3324 3448 3878 4432 5172 5817 6034 6648 6896 7756 9051 10344 11634 12068 13296 15512 18102 20688 23268 24136 31024 36204 46536 48272 72408 93072 119387 144816 238774 358161 477548 716322 835709 955096 1432644 1671418 1910192 2507127 2865288 3342836 5014254 5730576 6685672 10028508 13371344 20057016 40114032