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40421052 = 22337127421
BaseRepresentation
bin1001101000110…
…0011010111100
32211001121021000
42122030122330
540321433202
64002210300
71000400430
oct232143274
984047230
1040421052
11208a8a31
1211653990
1384b33a9
1455229c0
15383691c
hex268c6bc

40421052 has 96 divisors (see below), whose sum is σ = 120995840. Its totient is φ = 11430720.

The previous prime is 40421047. The next prime is 40421071. The reversal of 40421052 is 25012404.

40421052 is a `hidden beast` number, since 404 + 210 + 52 = 666.

40421052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×404210522 = 3267722889573408, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 95802 + ... + 96222.

Almost surely, 240421052 is an apocalyptic number.

40421052 is a gapful number since it is divisible by the number (42) 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 40421052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60497920).

40421052 is an abundant number, since it is smaller than the sum of its proper divisors (80574788).

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

40421052 is a wasteful number, since it uses less digits than its factorization.

40421052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40421052 is about 6357.7552642422. The cubic root of 40421052 is about 343.1909846524.

Adding to 40421052 its reverse (25012404), we get a palindrome (65433456).

The spelling of 40421052 in words is "forty million, four hundred twenty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 127 189 252 254 378 381 421 508 756 762 842 889 1143 1263 1524 1684 1778 2286 2526 2667 2947 3429 3556 3789 4572 5052 5334 5894 6858 7578 8001 8841 10668 11367 11788 13716 15156 16002 17682 22734 24003 26523 32004 35364 45468 48006 53046 53467 79569 96012 106092 106934 159138 160401 213868 318276 320802 374269 481203 641604 748538 962406 1122807 1443609 1497076 1924812 2245614 2887218 3368421 4491228 5774436 6736842 10105263 13473684 20210526 40421052