[go: up one dir, main page]

Search a number
-
+
42712650 = 23352291091
BaseRepresentation
bin1010001011101…
…1111001001010
32222101000202000
42202323321022
541413301100
64123251430
71026023451
oct242737112
988330660
1042712650
1122123712
1212379b76
138b06476
14595bb98
153b3a900
hex28bbe4a

42712650 has 96 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 10987200.

The previous prime is 42712639. The next prime is 42712667. The reversal of 42712650 is 5621724.

42712650 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 2 + 650 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38605 + ... + 39695.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 242712650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42712650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

42712650 is an abundant number, since it is smaller than the sum of its proper divisors (79154550).

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

42712650 is a wasteful number, since it uses less digits than its factorization.

42712650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42712650 is about 6535.4915652918. The cubic root of 42712650 is about 349.5576725177.

The spelling of 42712650 in words is "forty-two million, seven hundred twelve thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 87 90 135 145 150 174 225 261 270 290 435 450 522 675 725 783 870 1091 1305 1350 1450 1566 2175 2182 2610 3273 3915 4350 5455 6525 6546 7830 9819 10910 13050 16365 19575 19638 27275 29457 31639 32730 39150 49095 54550 58914 63278 81825 94917 98190 147285 158195 163650 189834 245475 284751 294570 316390 474585 490950 569502 736425 790975 854253 949170 1423755 1472850 1581950 1708506 2372925 2847510 4271265 4745850 7118775 8542530 14237550 21356325 42712650