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4045464 = 23352081
BaseRepresentation
bin1111011011101010011000
321121112100000
433123222120
52013423324
6222413000
746246233
oct17335230
97545300
104045464
112313465
121431160
13ab8487
1477441a
1554d9c9
hex3dba98

4045464 has 48 divisors (see below), whose sum is σ = 11367720. Its totient is φ = 1347840.

The previous prime is 4045421. The next prime is 4045501. The reversal of 4045464 is 4645404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 904 + ... + 2984.

Almost surely, 24045464 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 4045464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683860).

4045464 is an abundant number, since it is smaller than the sum of its proper divisors (7322256).

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

4045464 is a wasteful number, since it uses less digits than its factorization.

4045464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4045464 is about 2011.3338857584. Note that the first 3 decimals coincide. The cubic root of 4045464 is about 159.3392542670.

It can be divided in two parts, 404546 and 4, that added together give a triangular number (404550 = T899).

The spelling of 4045464 in words is "four million, forty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 2081 4162 6243 8324 12486 16648 18729 24972 37458 49944 56187 74916 112374 149832 168561 224748 337122 449496 505683 674244 1011366 1348488 2022732 4045464