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42907095 = 32572112961
BaseRepresentation
bin1010001110101…
…1010111010111
32222201220110200
42203223113113
541441011340
64131351543
71030463400
oct243532727
988656420
1042907095
1122246810
12124525b3
138b73b1a
1459ac9a7
153b78330
hex28eb5d7

42907095 has 144 divisors (see below), whose sum is σ = 99234720. Its totient is φ = 16934400.

The previous prime is 42907093. The next prime is 42907097. The reversal of 42907095 is 59070924.

42907095 = 1962 + 1972 + ... + 5142.

It is an interprime number because it is at equal distance from previous prime (42907093) and next prime (42907097).

It is not a de Polignac number, because 42907095 - 21 = 42907093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42907093) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 703365 + ... + 703425.

It is an arithmetic number, because the mean of its divisors is an integer number (689130).

Almost surely, 242907095 is an apocalyptic number.

42907095 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42907095 is an abundant number, since it is smaller than the sum of its proper divisors (56327625).

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

42907095 is a wasteful number, since it uses less digits than its factorization.

42907095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 42907095 is about 6550.3507539673. The cubic root of 42907095 is about 350.0873115506.

The spelling of 42907095 in words is "forty-two million, nine hundred seven thousand, ninety-five".

Divisors: 1 3 5 7 9 11 15 21 29 33 35 45 49 55 61 63 77 87 99 105 145 147 165 183 203 231 245 261 305 315 319 385 427 435 441 495 539 549 609 671 693 735 915 957 1015 1155 1281 1305 1421 1595 1617 1769 1827 2013 2135 2205 2233 2695 2745 2871 2989 3045 3355 3465 3843 4263 4697 4785 4851 5307 6039 6405 6699 7105 8085 8845 8967 9135 10065 11165 12383 12789 14091 14355 14945 15631 15921 19215 19459 20097 21315 23485 24255 26535 26901 30195 32879 33495 37149 42273 44835 46893 58377 61915 63945 70455 78155 79605 86681 97295 98637 100485 111447 134505 136213 140679 164395 175131 185745 211365 234465 260043 291885 295911 408639 433405 493185 557235 681065 703395 780129 875655 953491 1225917 1300215 1479555 2043195 2860473 3900645 4767455 6129585 8581419 14302365 42907095