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40482720 = 253359371
BaseRepresentation
bin1001101001101…
…1011110100000
32211011201212000
42122123132200
540330421340
64003404000
71001045265
oct232333640
984151760
1040482720
11209402a3
1211683600
138505495
14553b26c
153849d30
hex269b7a0

40482720 has 96 divisors (see below), whose sum is σ = 141704640. Its totient is φ = 10794240.

The previous prime is 40482713. The next prime is 40482727. The reversal of 40482720 is 2728404.

40482720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40482713) and next prime (40482727).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40482727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366 + ... + 9005.

It is an arithmetic number, because the mean of its divisors is an integer number (1476090).

Almost surely, 240482720 is an apocalyptic number.

40482720 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 40482720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70852320).

40482720 is an abundant number, since it is smaller than the sum of its proper divisors (101221920).

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

40482720 is a wasteful number, since it uses less digits than its factorization.

40482720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9395 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 40482720 is about 6362.6032408127. The cubic root of 40482720 is about 343.3654246770.

The spelling of 40482720 in words is "forty million, four hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 9371 18742 28113 37484 46855 56226 74968 84339 93710 112452 140565 149936 168678 187420 224904 253017 281130 299872 337356 374840 421695 449808 506034 562260 674712 749680 843390 899616 1012068 1124520 1265085 1349424 1499360 1686780 2024136 2249040 2530170 2698848 3373560 4048272 4498080 5060340 6747120 8096544 10120680 13494240 20241360 40482720