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42139800 = 23325241571
BaseRepresentation
bin1010000011000…
…0000010011000
32221021220221100
42200300002120
541241433200
64103111400
71021116363
oct240600230
987256840
1042139800
112187228a
1212142560
1389657c1
14584d0da
153a75d00
hex2830098

42139800 has 144 divisors (see below), whose sum is σ = 145225080. Its totient is φ = 10944000.

The previous prime is 42139793. The next prime is 42139817. The reversal of 42139800 is 893124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73515 + ... + 74085.

Almost surely, 242139800 is an apocalyptic number.

42139800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42139800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72612540).

42139800 is an abundant number, since it is smaller than the sum of its proper divisors (103085280).

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

42139800 is a wasteful number, since it uses less digits than its factorization.

42139800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 42139800 is about 6491.5175421468. The cubic root of 42139800 is about 347.9879107968.

The spelling of 42139800 in words is "forty-two million, one hundred thirty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 41 45 50 60 72 75 82 90 100 120 123 150 164 180 200 205 225 246 300 328 360 369 410 450 492 571 600 615 738 820 900 984 1025 1142 1230 1476 1640 1713 1800 1845 2050 2284 2460 2855 2952 3075 3426 3690 4100 4568 4920 5139 5710 6150 6852 7380 8200 8565 9225 10278 11420 12300 13704 14275 14760 17130 18450 20556 22840 23411 24600 25695 28550 34260 36900 41112 42825 46822 51390 57100 68520 70233 73800 85650 93644 102780 114200 117055 128475 140466 171300 187288 205560 210699 234110 256950 280932 342600 351165 421398 468220 513900 561864 585275 702330 842796 936440 1027800 1053495 1170550 1404660 1685592 1755825 2106990 2341100 2809320 3511650 4213980 4682200 5267475 7023300 8427960 10534950 14046600 21069900 42139800