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855261342 = 23713389
BaseRepresentation
bin110010111110100…
…100000010011110
32012121022210000000
4302332210002132
53222421330332
6220511115130
730123413205
oct6276440236
92177283000
10855261342
113a9855561
121ba512aa6
13108261000
148183223c
1550140b7c
hex32fa409e

855261342 has 128 divisors (see below), whose sum is σ = 2107728000. Its totient is φ = 260200512.

The previous prime is 855261331. The next prime is 855261343. The reversal of 855261342 is 243162558.

855261342 is a `hidden beast` number, since 8 + 55 + 261 + 342 = 666.

855261342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 855261297 and 855261306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855261343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9609634 + ... + 9609722.

It is an arithmetic number, because the mean of its divisors is an integer number (16466625).

Almost surely, 2855261342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855261342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053864000).

855261342 is an abundant number, since it is smaller than the sum of its proper divisors (1252466658).

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

855261342 is an frugal number, since it uses more digits than its factorization.

855261342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 855261342 is about 29244.8515468963. The cubic root of 855261342 is about 949.2186898272.

It can be divided in two parts, 85526 and 1342, that added together give a palindrome (86868).

The spelling of 855261342 in words is "eight hundred fifty-five million, two hundred sixty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 89 117 162 169 178 234 243 267 338 351 486 507 534 702 729 801 1014 1053 1157 1458 1521 1602 2106 2187 2197 2314 2403 3042 3159 3471 4374 4394 4563 4806 6318 6591 6942 7209 9126 9477 10413 13182 13689 14418 15041 18954 19773 20826 21627 27378 28431 30082 31239 39546 41067 43254 45123 56862 59319 62478 64881 82134 90246 93717 118638 123201 129762 135369 177957 187434 194643 195533 246402 270738 281151 355914 369603 389286 391066 406107 533871 562302 586599 739206 812214 843453 1067742 1173198 1218321 1601613 1686906 1759797 2436642 2530359 3203226 3519594 3654963 4804839 5060718 5279391 7309926 9609678 10558782 10964889 15838173 21929778 31676346 32894667 47514519 65789334 95029038 142543557 285087114 427630671 855261342