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42780150 = 235527503
BaseRepresentation
bin1010001100110…
…0010111110110
32222111110100000
42203030113312
541422431100
64124532130
71026424320
oct243142766
988443300
1042780150
112216a3a6
12123b1046
138b2b0ca
145978610
153b50900
hex28cc5f6

42780150 has 144 divisors (see below), whose sum is σ = 136491264. Its totient is φ = 9758880.

The previous prime is 42780149. The next prime is 42780163. The reversal of 42780150 is 5108724.

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

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84799 + ... + 85301.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 242780150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42780150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

42780150 is an abundant number, since it is smaller than the sum of its proper divisors (93711114).

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

42780150 is a wasteful number, since it uses less digits than its factorization.

42780150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 42780150 is about 6540.6536370611. The cubic root of 42780150 is about 349.7417142044.

Adding to 42780150 its reverse (5108724), we get a palindrome (47888874).

The spelling of 42780150 in words is "forty-two million, seven hundred eighty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 243 270 315 350 378 405 450 486 503 525 567 630 675 810 945 1006 1050 1134 1215 1350 1509 1575 1701 1890 2025 2430 2515 2835 3018 3150 3402 3521 4050 4527 4725 5030 5670 6075 7042 7545 8505 9054 9450 10563 12150 12575 13581 14175 15090 17010 17605 21126 22635 25150 27162 28350 31689 35210 37725 40743 42525 45270 52815 63378 67905 75450 81486 85050 88025 95067 105630 113175 122229 135810 158445 176050 190134 203715 226350 244458 264075 285201 316890 339525 407430 475335 528150 570402 611145 679050 792225 855603 950670 1018575 1222290 1426005 1584450 1711206 2037150 2376675 2852010 3055725 4278015 4753350 6111450 7130025 8556030 14260050 21390075 42780150