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3784969242 = 2333137531153
BaseRepresentation
bin1110000110011010…
…0000110000011010
3100202210002100201000
43201212200300122
530222423003432
61423325005430
7162536464515
oct34146406032
910683070630
103784969242
11167257545a
128976b3876
13484203a92
1427c97bd7c
1517244c57c
hexe19a0c1a

3784969242 has 128 divisors (see below), whose sum is σ = 9093150720. Its totient is φ = 1164533760.

The previous prime is 3784969231. The next prime is 3784969247. The reversal of 3784969242 is 2429694873.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3784969247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3282138 + ... + 3283290.

It is an arithmetic number, because the mean of its divisors is an integer number (71040240).

Almost surely, 23784969242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3784969242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546575360).

3784969242 is an abundant number, since it is smaller than the sum of its proper divisors (5308181478).

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

3784969242 is a wasteful number, since it uses less digits than its factorization.

3784969242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1279 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3784969242 is about 61522.1036863988. The cubic root of 3784969242 is about 1558.4305443419.

The spelling of 3784969242 in words is "three billion, seven hundred eighty-four million, nine hundred sixty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 37 53 54 62 74 93 106 111 159 186 222 279 318 333 477 558 666 837 954 999 1147 1153 1431 1643 1674 1961 1998 2294 2306 2862 3286 3441 3459 3922 4929 5883 6882 6918 9858 10323 10377 11766 14787 17649 20646 20754 29574 30969 31131 35298 35743 42661 44361 52947 60791 61109 61938 62262 71486 85322 88722 105894 107229 121582 122218 127983 182373 183327 214458 255966 321687 364746 366654 383949 547119 549981 643374 767898 965061 1094238 1099962 1151847 1322491 1641357 1649943 1894379 1930122 2261033 2303694 2644982 3282714 3299886 3788758 3967473 4522066 5683137 6783099 7934946 11366274 11902419 13566198 17049411 20349297 23804838 34098822 35707257 40698594 51148233 61047891 70092023 71414514 102296466 122095782 140184046 210276069 420552138 630828207 1261656414 1892484621 3784969242