Search a number
-
+
63997452 = 2236171291
BaseRepresentation
bin1111010000100…
…0011000001100
311110102102000000
43310020120030
5112340404302
610203404300
71404653331
oct364103014
9143372000
1063997452
1133141262
1219523690
131034961c
1486dc988
15594231c
hex3d0860c

63997452 has 84 divisors (see below), whose sum is σ = 177931656. Its totient is φ = 20062080.

The previous prime is 63997441. The next prime is 63997481. The reversal of 63997452 is 25479936.

It is a happy number.

63997452 is a `hidden beast` number, since 639 + 9 + 7 + 4 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 63997398 and 63997407.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 48927 + ... + 50217.

It is an arithmetic number, because the mean of its divisors is an integer number (2118234).

Almost surely, 263997452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63997452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88965828).

63997452 is an abundant number, since it is smaller than the sum of its proper divisors (113934204).

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

63997452 is a wasteful number, since it uses less digits than its factorization.

63997452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1313 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 63997452 is about 7999.8407484149. The cubic root of 63997452 is about 399.9946915962.

The spelling of 63997452 in words is "sixty-three million, nine hundred ninety-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1291 1377 1458 1836 2582 2754 2916 3873 4131 5164 5508 7746 8262 11619 12393 15492 16524 21947 23238 24786 34857 43894 46476 49572 65841 69714 87788 104571 131682 139428 197523 209142 263364 313713 395046 418284 592569 627426 790092 941139 1185138 1254852 1777707 1882278 2370276 3555414 3764556 5333121 7110828 10666242 15999363 21332484 31998726 63997452