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8440992 = 253275379
BaseRepresentation
bin100000001100…
…110010100000
3120212211212100
4200030302200
54130102432
6500530400
7131514210
oct40146240
916784770
108440992
11484592a
1229b0a00
131997091
14119a240
15b1b07c
hex80cca0

8440992 has 144 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2336256.

The previous prime is 8440979. The next prime is 8441009. The reversal of 8440992 is 2990448.

It is a happy number.

8440992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×84409923 (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106809 + ... + 106887.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 28440992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8440992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

8440992 is an abundant number, since it is smaller than the sum of its proper divisors (19863648).

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

8440992 is a wasteful number, since it uses less digits than its factorization.

8440992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8440992 is about 2905.3385344913. The cubic root of 8440992 is about 203.6094025453.

The spelling of 8440992 in words is "eight million, four hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 79 84 96 106 112 126 144 158 159 168 212 224 237 252 288 316 318 336 371 424 474 477 504 553 632 636 672 711 742 848 948 954 1008 1106 1113 1264 1272 1422 1484 1659 1696 1896 1908 2016 2212 2226 2528 2544 2844 2968 3318 3339 3792 3816 4187 4424 4452 4977 5088 5688 5936 6636 6678 7584 7632 8374 8848 8904 9954 11376 11872 12561 13272 13356 15264 16748 17696 17808 19908 22752 25122 26544 26712 29309 33496 35616 37683 39816 50244 53088 53424 58618 66992 75366 79632 87927 100488 106848 117236 133984 150732 159264 175854 200976 234472 263781 301464 351708 401952 468944 527562 602928 703416 937888 1055124 1205856 1406832 2110248 2813664 4220496 8440992