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40169052 = 223271143337
BaseRepresentation
bin1001100100111…
…0111001011100
32210120210120200
42121032321130
540240402202
63552543500
7665300640
oct231167134
983523520
1040169052
1120746670
1211551b90
138425791
145498c20
1537d6e1c
hex264ee5c

40169052 has 144 divisors (see below), whose sum is σ = 129921792. Its totient is φ = 10160640.

The previous prime is 40169047. The next prime is 40169069. The reversal of 40169052 is 25096104.

It is a super-2 number, since 2×401690522 = 3227105477157408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119028 + ... + 119364.

Almost surely, 240169052 is an apocalyptic number.

40169052 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 40169052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64960896).

40169052 is an abundant number, since it is smaller than the sum of its proper divisors (89752740).

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

40169052 is a wasteful number, since it uses less digits than its factorization.

40169052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 40169052 is about 6337.9059633289. The cubic root of 40169052 is about 342.4763036157.

The spelling of 40169052 in words is "forty million, one hundred sixty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 43 44 63 66 77 84 86 99 126 129 132 154 172 198 231 252 258 301 308 337 387 396 462 473 516 602 674 693 774 903 924 946 1011 1204 1348 1386 1419 1548 1806 1892 2022 2359 2709 2772 2838 3033 3311 3612 3707 4044 4257 4718 5418 5676 6066 6622 7077 7414 8514 9436 9933 10836 11121 12132 13244 14154 14491 14828 17028 19866 21231 22242 25949 28308 28982 29799 33363 39732 42462 43473 44484 51898 57964 59598 66726 77847 84924 86946 101437 103796 119196 130419 133452 155694 159401 173892 202874 233541 260838 304311 311388 318802 405748 467082 478203 521676 608622 637604 912933 934164 956406 1115807 1217244 1434609 1825866 1912812 2231614 2869218 3347421 3651732 4463228 5738436 6694842 10042263 13389684 20084526 40169052