Search a number
-
+
45339264 = 27344373
BaseRepresentation
bin1010110011110…
…1001010000000
310011022110210000
42230331022000
543101324024
64255440000
71060243305
oct254751200
9104273700
1045339264
1123658073
1213226000
139515b89
1460430ac
153ea8cc9
hex2b3d280

45339264 has 80 divisors (see below), whose sum is σ = 134959770. Its totient is φ = 15109632.

The previous prime is 45339253. The next prime is 45339277. The reversal of 45339264 is 46293354.

It can be written as a sum of positive squares in only one way, i.e., 37454400 + 7884864 = 6120^2 + 2808^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8182 + ... + 12554.

Almost surely, 245339264 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 45339264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67479885).

45339264 is an abundant number, since it is smaller than the sum of its proper divisors (89620506).

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

45339264 is an equidigital number, since it uses as much as digits as its factorization.

45339264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399 (or 4378 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 45339264 is about 6733.4436954652. The cubic root of 45339264 is about 356.5809644533.

The spelling of 45339264 in words is "forty-five million, three hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 4373 5184 8746 10368 13119 17492 26238 34984 39357 52476 69968 78714 104952 118071 139936 157428 209904 236142 279872 314856 354213 419808 472284 559744 629712 708426 839616 944568 1259424 1416852 1679232 1889136 2518848 2833704 3778272 5037696 5667408 7556544 11334816 15113088 22669632 45339264