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45284022 = 23871729
BaseRepresentation
bin1010110010111…
…1101010110110
310011012200000000
42230233222312
543043042042
64254332130
71056623250
oct254575266
9104180000
1045284022
112361a613
12131ba046
1394c69a4
14602acd0
153e9774c
hex2b2fab6

45284022 has 144 divisors (see below), whose sum is σ = 127539360. Its totient is φ = 11757312.

The previous prime is 45283991. The next prime is 45284059. The reversal of 45284022 is 22048254.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1561504 + ... + 1561532.

It is an arithmetic number, because the mean of its divisors is an integer number (885690).

Almost surely, 245284022 is an apocalyptic number.

45284022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45284022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63769680).

45284022 is an abundant number, since it is smaller than the sum of its proper divisors (82255338).

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

45284022 is an equidigital number, since it uses as much as digits as its factorization.

45284022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 45284022 is about 6729.3403837226. The cubic root of 45284022 is about 356.4360845007.

The spelling of 45284022 in words is "forty-five million, two hundred eighty-four thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 29 34 42 51 54 58 63 81 87 102 119 126 153 162 174 189 203 238 243 261 306 357 378 406 459 486 493 522 567 609 714 729 783 918 986 1071 1134 1218 1377 1458 1479 1566 1701 1827 2142 2187 2349 2754 2958 3213 3402 3451 3654 4131 4374 4437 4698 5103 5481 6426 6561 6902 7047 8262 8874 9639 10206 10353 10962 12393 13122 13311 14094 15309 16443 19278 20706 21141 24786 26622 28917 30618 31059 32886 37179 39933 42282 45927 49329 57834 62118 63423 74358 79866 86751 91854 93177 98658 111537 119799 126846 147987 173502 186354 190269 223074 239598 260253 279531 295974 359397 380538 443961 520506 559062 718794 780759 838593 887922 1078191 1331883 1561518 1677186 2156382 2515779 2663766 3234573 5031558 6469146 7547337 15094674 22642011 45284022