Search a number
-
+
42639000 = 2335361233
BaseRepresentation
bin1010001010100…
…1111010011000
32222020021201020
42202221322120
541403422000
64121522440
71025265645
oct242517230
988207636
1042639000
1122083348
1212343420
138aabaa1
14593cdcc
153b23ba0
hex28a9e98

42639000 has 128 divisors (see below), whose sum is σ = 135794880. Its totient is φ = 11136000.

The previous prime is 42638993. The next prime is 42639041. The reversal of 42639000 is 93624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182884 + ... + 183116.

Almost surely, 242639000 is an apocalyptic number.

42639000 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 42639000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67897440).

42639000 is an abundant number, since it is smaller than the sum of its proper divisors (93155880).

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

42639000 is a wasteful number, since it uses less digits than its factorization.

42639000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 42639000 is about 6529.8545159904. The cubic root of 42639000 is about 349.3566412525.

The spelling of 42639000 in words is "forty-two million, six hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 125 150 183 200 233 244 250 300 305 366 375 466 488 500 600 610 699 732 750 915 932 1000 1165 1220 1398 1464 1500 1525 1830 1864 2330 2440 2796 3000 3050 3495 3660 4575 4660 5592 5825 6100 6990 7320 7625 9150 9320 11650 12200 13980 14213 15250 17475 18300 22875 23300 27960 28426 29125 30500 34950 36600 42639 45750 46600 56852 58250 61000 69900 71065 85278 87375 91500 113704 116500 139800 142130 170556 174750 183000 213195 233000 284260 341112 349500 355325 426390 568520 699000 710650 852780 1065975 1421300 1705560 1776625 2131950 2842600 3553250 4263900 5329875 7106500 8527800 10659750 14213000 21319500 42639000