Search a number
-
+
42402150 = 2335272641
BaseRepresentation
bin1010000111000…
…0000101100110
32221210020211000
42201300011212
541323332100
64112454130
71023261300
oct241600546
987706730
1042402150
1121a313aa
121224a346
138a2803b
1458ba970
153ac8900
hex2870166

42402150 has 144 divisors (see below), whose sum is σ = 136129680. Its totient is φ = 9676800.

The previous prime is 42402149. The next prime is 42402161. The reversal of 42402150 is 5120424.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 65830 + ... + 66470.

It is an arithmetic number, because the mean of its divisors is an integer number (945345).

Almost surely, 242402150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42402150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68064840).

42402150 is an abundant number, since it is smaller than the sum of its proper divisors (93727530).

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

42402150 is a wasteful number, since it uses less digits than its factorization.

42402150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42402150 is about 6511.6933281597. The cubic root of 42402150 is about 348.7085741059.

Adding to 42402150 its reverse (5120424), we get a palindrome (47522574).

The spelling of 42402150 in words is "forty-two million, four hundred two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 90 98 105 126 135 147 150 175 189 210 225 245 270 294 315 350 378 441 450 490 525 630 641 675 735 882 945 1050 1225 1282 1323 1350 1470 1575 1890 1923 2205 2450 2646 3150 3205 3675 3846 4410 4487 4725 5769 6410 6615 7350 8974 9450 9615 11025 11538 13230 13461 16025 17307 19230 22050 22435 26922 28845 31409 32050 33075 34614 40383 44870 48075 57690 62818 66150 67305 80766 86535 94227 96150 112175 121149 134610 144225 157045 173070 188454 201915 224350 242298 282681 288450 314090 336525 403830 432675 471135 565362 605745 673050 785225 848043 865350 942270 1009575 1211490 1413405 1570450 1696086 2019150 2355675 2826810 3028725 4240215 4711350 6057450 7067025 8480430 14134050 21201075 42402150