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40153122 = 23231227317
BaseRepresentation
bin1001100100101…
…1000000100010
32210112222201200
42121023000202
540234344442
63552342030
7665203332
oct231130042
983488650
1040153122
11207356a9
1211544916
13841b459
1454930c2
1537d234c
hex264b022

40153122 has 48 divisors (see below), whose sum is σ = 90484992. Its totient is φ = 12854880.

The previous prime is 40153111. The next prime is 40153129. The reversal of 40153122 is 22135104.

It is a super-2 number, since 2×401531222 = 3224546412693768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40153095 and 40153104.

It is not an unprimeable number, because it can be changed into a prime (40153129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126508 + ... + 126824.

It is an arithmetic number, because the mean of its divisors is an integer number (1885104).

Almost surely, 240153122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40153122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45242496).

40153122 is an abundant number, since it is smaller than the sum of its proper divisors (50331870).

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

40153122 is a wasteful number, since it uses less digits than its factorization.

40153122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40153122 is about 6336.6491144768. The cubic root of 40153122 is about 342.4310252352.

Adding to 40153122 its reverse (22135104), we get a palindrome (62288226).

The spelling of 40153122 in words is "forty million, one hundred fifty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 227 279 317 454 558 634 681 951 1362 1902 2043 2853 4086 5706 7037 9827 14074 19654 21111 29481 42222 58962 63333 71959 88443 126666 143918 176886 215877 431754 647631 1295262 2230729 4461458 6692187 13384374 20076561 40153122