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906231942 = 2337111911471
BaseRepresentation
bin110110000001000…
…000000010000110
32100011020100112000
4312001000002012
53323443410232
6225531410130
731312562430
oct6601000206
92304210460
10906231942
114255a9520
122135b3946
13115999125
14884dd650
155485d27c
hex36040086

906231942 has 128 divisors (see below), whose sum is σ = 2643148800. Its totient is φ = 222976800.

The previous prime is 906231913. The next prime is 906231967. The reversal of 906231942 is 249132609.

It is a junction number, because it is equal to n+sod(n) for n = 906231897 and 906231906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73267 + ... + 84737.

It is an arithmetic number, because the mean of its divisors is an integer number (20649600).

Almost surely, 2906231942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906231942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321574400).

906231942 is an abundant number, since it is smaller than the sum of its proper divisors (1736916858).

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

906231942 is a wasteful number, since it uses less digits than its factorization.

906231942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11519 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 906231942 is about 30103.6865184316. The cubic root of 906231942 is about 967.7127325013.

The spelling of 906231942 in words is "nine hundred six million, two hundred thirty-one thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 54 57 63 66 77 99 114 126 133 154 171 189 198 209 231 266 297 342 378 399 418 462 513 594 627 693 798 1026 1197 1254 1386 1463 1881 2079 2394 2926 3591 3762 4158 4389 5643 7182 8778 11286 11471 13167 22942 26334 34413 39501 68826 79002 80297 103239 126181 160594 206478 217949 240891 252362 309717 378543 435898 481782 619434 653847 722673 757086 883267 1135629 1307694 1445346 1525643 1766534 1961541 2168019 2271258 2397439 2649801 3051286 3406887 3923082 4336038 4576929 4794878 5299602 5884623 6813774 7192317 7949403 9153858 11769246 13730787 14384634 15898806 16782073 21576951 23848209 27461574 33564146 41192361 43153902 47696418 50346219 64730853 82384722 100692438 129461706 151038657 302077314 453115971 906231942