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40422240 = 253453119
BaseRepresentation
bin1001101000110…
…0101101100000
32211001122220000
42122030231200
540322002430
64002220000
71000404045
oct232145540
984048800
1040422240
11208a9911
1211654600
1384b3ab1
1455231cc
153836e60
hex268cb60

40422240 has 120 divisors (see below), whose sum is σ = 142702560. Its totient is φ = 10775808.

The previous prime is 40422229. The next prime is 40422251. The reversal of 40422240 is 4222404.

40422240 is a `hidden beast` number, since 4 + 0 + 422 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (40422229) and next prime (40422251).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 11401 + ... + 14519.

It is an arithmetic number, because the mean of its divisors is an integer number (1189188).

Almost surely, 240422240 is an apocalyptic number.

40422240 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 40422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71351280).

40422240 is an abundant number, since it is smaller than the sum of its proper divisors (102280320).

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

40422240 is a wasteful number, since it uses less digits than its factorization.

40422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 40422240 is about 6357.8486927576. The cubic root of 40422240 is about 343.1943468187.

Adding to 40422240 its reverse (4222404), we get a palindrome (44644644).

The spelling of 40422240 in words is "forty million, four hundred twenty-two thousand, two hundred forty".

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 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3119 3240 4320 6238 6480 9357 12476 12960 15595 18714 24952 28071 31190 37428 46785 49904 56142 62380 74856 84213 93570 99808 112284 124760 140355 149712 168426 187140 224568 249520 252639 280710 299424 336852 374280 421065 449136 499040 505278 561420 673704 748560 842130 898272 1010556 1122840 1263195 1347408 1497120 1684260 2021112 2245680 2526390 2694816 3368520 4042224 4491360 5052780 6737040 8084448 10105560 13474080 20211120 40422240