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42333330 = 235131929197
BaseRepresentation
bin1010000101111…
…1010010010010
32221122202102010
42201133102102
541314131310
64111203350
71022553534
oct241372222
987582363
1042333330
1121994726
1212216556
138a02910
14589d854
153ab3320
hex285f492

42333330 has 128 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 9483264.

The previous prime is 42333307. The next prime is 42333341. The reversal of 42333330 is 3333324.

It is a super-2 number, since 2×423333302 = 3584221657777800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42333297 and 42333306.

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, 214792 + ... + 214988.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 242333330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42333330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

42333330 is an abundant number, since it is smaller than the sum of its proper divisors (77417070).

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

42333330 is a wasteful number, since it uses less digits than its factorization.

42333330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 1944, while the sum is 21.

The square root of 42333330 is about 6506.4068424899. The cubic root of 42333330 is about 348.5198170184.

Adding to 42333330 its reverse (3333324), we get a palindrome (45666654).

The spelling of 42333330 in words is "forty-two million, three hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 29 30 38 39 57 58 65 78 87 95 114 130 145 174 190 195 197 247 285 290 377 390 394 435 494 551 570 591 741 754 870 985 1102 1131 1182 1235 1482 1653 1885 1970 2262 2470 2561 2755 2955 3306 3705 3743 3770 5122 5510 5655 5713 5910 7163 7410 7486 7683 8265 11229 11310 11426 12805 14326 15366 16530 17139 18715 21489 22458 25610 28565 34278 35815 37430 38415 42978 48659 56145 57130 71630 74269 76830 85695 97318 107445 108547 112290 145977 148538 171390 214890 217094 222807 243295 291954 325641 371345 445614 486590 542735 651282 729885 742690 1085470 1114035 1411111 1459770 1628205 2228070 2822222 3256410 4233333 7055555 8466666 14111110 21166665 42333330