Search a number
-
+
421596738 = 23819289
BaseRepresentation
bin11001001000010…
…000111001000010
31002101022100000000
4121020100321002
51330412043423
6105500140430
713306341003
oct3110207102
91071270000
10421596738
111a6a86962
12b9237716
1369463734
143ddc71aa
152702c843
hex19210e42

421596738 has 108 divisors (see below), whose sum is σ = 1012343670. Its totient is φ = 131639904.

The previous prime is 421596737. The next prime is 421596761. The reversal of 421596738 is 837695124.

421596738 is a `hidden beast` number, since 4 + 21 + 596 + 7 + 38 = 666.

It can be written as a sum of positive squares in only one way, i.e., 400280049 + 21316689 = 20007^2 + 4617^2 .

It is a junction number, because it is equal to n+sod(n) for n = 421596693 and 421596702.

It is not an unprimeable number, because it can be changed into a prime (421596737) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4736998 + ... + 4737086.

Almost surely, 2421596738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421596738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506171835).

421596738 is an abundant number, since it is smaller than the sum of its proper divisors (590746932).

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

421596738 is an frugal number, since it uses more digits than its factorization.

421596738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 113 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 421596738 is about 20532.8209946904. The cubic root of 421596738 is about 749.8350677325.

The spelling of 421596738 in words is "four hundred twenty-one million, five hundred ninety-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 89 114 162 171 178 243 267 342 361 486 513 534 722 729 801 1026 1083 1458 1539 1602 1691 2166 2187 2403 3078 3249 3382 4374 4617 4806 5073 6498 6561 7209 9234 9747 10146 13122 13851 14418 15219 19494 21627 27702 29241 30438 32129 41553 43254 45657 58482 64258 64881 83106 87723 91314 96387 124659 129762 136971 175446 192774 194643 249318 263169 273942 289161 389286 410913 526338 578322 583929 789507 821826 867483 1167858 1232739 1579014 1734966 2368521 2465478 2602449 3698217 4737042 5204898 7396434 7807347 11094651 15614694 22189302 23422041 46844082 70266123 140532246 210798369 421596738