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42835208325 = 35272133832341
BaseRepresentation
bin100111111001001011…
…010110100010000101
311002120021000001011020
4213321023112202011
51200211303131300
631402255101353
73044332156200
oct477113264205
9132507001136
1042835208325
11171913a4018
128375511859
134068589320
142104d58937
1511aa8788a0
hex9f92d6885

42835208325 has 144 divisors (see below), whose sum is σ = 88990304256. Its totient is φ = 18020620800.

The previous prime is 42835208279. The next prime is 42835208347. The reversal of 42835208325 is 52380253824.

42835208325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42835208325 - 29 = 42835207813 is a prime.

It is a super-2 number, since 2×428352083252 (a number of 22 digits) 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 143 ways as a sum of consecutive naturals, for example, 18296655 + ... + 18298995.

It is an arithmetic number, because the mean of its divisors is an integer number (617988224).

Almost surely, 242835208325 is an apocalyptic number.

It is an amenable number.

42835208325 is an abundant number, since it is smaller than the sum of its proper divisors (46155095931).

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

42835208325 is a wasteful number, since it uses less digits than its factorization.

42835208325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 42835208325 in words is "forty-two billion, eight hundred thirty-five million, two hundred eight thousand, three hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 147 175 195 245 273 325 383 455 525 637 735 975 1149 1225 1365 1911 1915 2275 2341 2681 3185 3675 4979 5745 6825 7023 8043 9555 9575 11705 13405 14937 15925 16387 18767 24895 28725 30433 34853 35115 40215 47775 49161 56301 58525 67025 74685 81935 91299 93835 104559 114709 124475 152165 174265 175575 201075 213031 243971 245805 281505 344127 373425 409675 456495 469175 522795 573545 639093 731913 760825 871325 896603 1065155 1219855 1229025 1407525 1491217 1720635 2282475 2613975 2689809 2867725 3195465 3659565 4473651 4483015 5325775 6099275 6276221 7456085 8603175 11655839 13449045 15977325 18297825 18828663 22368255 22415075 31381105 34967517 37280425 43933547 58279195 67245225 81590873 94143315 111841275 131800641 156905525 174837585 219667735 244772619 291395975 407954365 470716575 571136111 659003205 874187925 1098338675 1223863095 1713408333 2039771825 2855680555 3295016025 6119315475 8567041665 14278402775 42835208325