Search a number
-
+
469418070 = 2351129181271
BaseRepresentation
bin11011111110101…
…100000001010110
31012201021220112110
4123332230001112
51430132334240
6114325131450
714426662542
oct3376540126
91181256473
10469418070
11220a79820
12111259b86
1376338294
14464b4a22
152b326c80
hex1bfac056

469418070 has 128 divisors (see below), whose sum is σ = 1283143680. Its totient is φ = 108864000.

The previous prime is 469418069. The next prime is 469418077. The reversal of 469418070 is 70814964.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469418077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1732035 + ... + 1732305.

It is an arithmetic number, because the mean of its divisors is an integer number (10024560).

Almost surely, 2469418070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469418070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

469418070 is an abundant number, since it is smaller than the sum of its proper divisors (813725610).

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

469418070 is a wasteful number, since it uses less digits than its factorization.

469418070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 469418070 is about 21666.0580170921. The cubic root of 469418070 is about 777.1769910969.

The spelling of 469418070 in words is "four hundred sixty-nine million, four hundred eighteen thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 181 271 290 319 330 362 435 542 543 638 813 870 905 957 1086 1355 1595 1626 1810 1914 1991 2710 2715 2981 3190 3982 4065 4785 5249 5430 5962 5973 7859 8130 8943 9570 9955 10498 11946 14905 15718 15747 17886 19910 23577 26245 29810 29865 31494 39295 44715 47154 49051 52490 57739 59730 78590 78735 86449 89430 98102 115478 117885 147153 157470 172898 173217 235770 245255 259347 288695 294306 346434 432245 490510 518694 539561 577390 735765 864490 866085 1079122 1296735 1422479 1471530 1618683 1732170 2593470 2697805 2844958 3237366 4267437 5395610 7112395 8093415 8534874 14224790 15647269 16186830 21337185 31294538 42674370 46941807 78236345 93883614 156472690 234709035 469418070