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42158025 = 32527132971
BaseRepresentation
bin1010000011010…
…0011111001001
32221022211221100
42200310133021
541243024100
64103332013
71021223460
oct240643711
987284840
1042158025
1121884a48
1212151009
138970ba0
1458559d7
153a7b400
hex28347c9

42158025 has 144 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 16934400.

The previous prime is 42158009. The next prime is 42158041. The reversal of 42158025 is 52085124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42158009) and next prime (42158041).

It is not a de Polignac number, because 42158025 - 24 = 42158009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42158025.

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, 593740 + ... + 593810.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 242158025 is an apocalyptic number.

42158025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42158025 is an abundant number, since it is smaller than the sum of its proper divisors (55335735).

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

42158025 is a wasteful number, since it uses less digits than its factorization.

42158025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 42158025 is about 6492.9211453705. The cubic root of 42158025 is about 348.0380705476.

The spelling of 42158025 in words is "forty-two million, one hundred fifty-eight thousand, twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 29 35 39 45 63 65 71 75 87 91 105 117 145 175 195 203 213 225 261 273 315 325 355 377 435 455 497 525 585 609 639 725 819 923 975 1015 1065 1131 1305 1365 1491 1575 1775 1827 1885 2059 2175 2275 2485 2639 2769 2925 3045 3195 3393 4095 4473 4615 5075 5325 5655 6177 6461 6525 6825 7455 7917 8307 9135 9425 10295 12425 13195 13845 14413 15225 15975 16965 18531 19383 20475 22365 23075 23751 26767 28275 30885 32305 37275 39585 41535 43239 45675 51475 58149 65975 69225 72065 80301 84825 92655 96915 111825 118755 129717 133835 154425 161525 187369 197925 207675 216195 240903 290745 360325 401505 463275 484575 562107 593775 648585 669175 936845 1080975 1204515 1453725 1686321 2007525 2810535 3242925 4684225 6022575 8431605 14052675 42158025