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42254190 = 23351141347
BaseRepresentation
bin1010000100101…
…1111101101110
32221111201212000
42201023331232
541304113230
64105353130
71022104026
oct241137556
987451760
1042254190
1121940220
12121987a6
1389a58a4
14587ca86
153a99b60
hex284bf6e

42254190 has 128 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 9964800.

The previous prime is 42254183. The next prime is 42254213. The reversal of 42254190 is 9145224.

42254190 is a `hidden beast` number, since 422 + 54 + 190 = 666.

It is a super-2 number, since 2×422541902 = 3570833145112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

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, 121597 + ... + 121943.

It is an arithmetic number, because the mean of its divisors is an integer number (986580).

Almost surely, 242254190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42254190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

42254190 is an abundant number, since it is smaller than the sum of its proper divisors (84028050).

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

42254190 is a wasteful number, since it uses less digits than its factorization.

42254190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42254190 is about 6500.3222997018. The cubic root of 42254190 is about 348.3025015381.

The spelling of 42254190 in words is "forty-two million, two hundred fifty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 41 45 54 55 66 82 90 99 110 123 135 165 198 205 246 270 297 330 347 369 410 451 495 594 615 694 738 902 990 1041 1107 1230 1353 1485 1735 1845 2082 2214 2255 2706 2970 3123 3470 3690 3817 4059 4510 5205 5535 6246 6765 7634 8118 9369 10410 11070 11451 12177 13530 14227 15615 18738 19085 20295 22902 24354 28454 31230 34353 38170 40590 42681 46845 57255 60885 68706 71135 85362 93690 103059 114510 121770 128043 142270 156497 171765 206118 213405 256086 312994 343530 384129 426810 469491 515295 640215 768258 782485 938982 1030590 1280430 1408473 1564970 1920645 2347455 2816946 3841290 4225419 4694910 7042365 8450838 14084730 21127095 42254190