Search a number
-
+
263464164 = 223417311543
BaseRepresentation
bin11111011010000…
…10010011100100
3200100202100220000
433231002103210
51014421323124
642050541300
76346260045
oct1755022344
9610670800
10263464164
1112579a587
1274297830
1342777c72
1426dc28cc
15181e36c9
hexfb424e4

263464164 has 120 divisors (see below), whose sum is σ = 753274368. Its totient is φ = 79937280.

The previous prime is 263464153. The next prime is 263464171. The reversal of 263464164 is 461464362.

263464164 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 641 + 6 + 4 = 666.

263464164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 169977 + ... + 171519.

Almost surely, 2263464164 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 263464164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376637184).

263464164 is an abundant number, since it is smaller than the sum of its proper divisors (489810204).

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

263464164 is a wasteful number, since it uses less digits than its factorization.

263464164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1596 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 263464164 is about 16231.5792207659. The cubic root of 263464164 is about 641.0725537539.

The spelling of 263464164 in words is "two hundred sixty-three million, four hundred sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 81 93 102 108 124 153 162 186 204 279 306 324 372 459 527 558 612 837 918 1054 1116 1377 1543 1581 1674 1836 2108 2511 2754 3086 3162 3348 4629 4743 5022 5508 6172 6324 9258 9486 10044 13887 14229 18516 18972 26231 27774 28458 41661 42687 47833 52462 55548 56916 78693 83322 85374 95666 104924 124983 143499 157386 166644 170748 191332 236079 249966 286998 314772 430497 472158 499932 573996 708237 813161 860994 944316 1291491 1416474 1626322 1721988 2124711 2439483 2582982 2832948 3252644 3874473 4249422 4878966 5165964 7318449 7748946 8498844 9757932 14636898 15497892 21955347 29273796 43910694 65866041 87821388 131732082 263464164