Search a number
-
+
264590928 = 24337591483
BaseRepresentation
bin11111100010101…
…01011001010000
3200102212121112000
433301111121100
51020213402203
642131034000
76361662060
oct1761253120
9612777460
10264590928
1112639a098
127473b900
1342a80aa4
14271d73a0
15183674a3
hexfc55650

264590928 has 160 divisors (see below), whose sum is σ = 883276800. Its totient is φ = 74265984.

The previous prime is 264590927. The next prime is 264590929. The reversal of 264590928 is 829095462.

264590928 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264590927) and next prime (264590929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264590927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177675 + ... + 179157.

It is an arithmetic number, because the mean of its divisors is an integer number (5520480).

Almost surely, 2264590928 is an apocalyptic number.

264590928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264590928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441638400).

264590928 is an abundant number, since it is smaller than the sum of its proper divisors (618685872).

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

264590928 is a wasteful number, since it uses less digits than its factorization.

264590928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 264590928 is about 16266.2511968800. The cubic root of 264590928 is about 641.9851511982.

It can be divided in two parts, 26 and 4590928, that added together give a palindrome (4590954).

The spelling of 264590928 in words is "two hundred sixty-four million, five hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 59 63 72 84 108 112 118 126 144 168 177 189 216 236 252 336 354 378 413 432 472 504 531 708 756 826 944 1008 1062 1239 1416 1483 1512 1593 1652 2124 2478 2832 2966 3024 3186 3304 3717 4248 4449 4956 5932 6372 6608 7434 8496 8898 9912 10381 11151 11864 12744 13347 14868 17796 19824 20762 22302 23728 25488 26694 29736 31143 35592 40041 41524 44604 53388 59472 62286 71184 80082 83048 87497 89208 93429 106776 124572 160164 166096 174994 178416 186858 213552 249144 262491 280287 320328 349988 373716 498288 524982 560574 612479 640656 699976 747432 787473 1049964 1121148 1224958 1399952 1494864 1574946 1837437 2099928 2242296 2362419 2449916 3149892 3674874 4199856 4484592 4724838 4899832 5512311 6299784 7349748 9449676 9799664 11024622 12599568 14699496 16536933 18899352 22049244 29398992 33073866 37798704 44098488 66147732 88196976 132295464 264590928