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802378644 = 2232315718517
BaseRepresentation
bin101111110100110…
…101001110010100
32001220211001120120
4233310311032110
53120402104034
6211341431540
725612051224
oct5764651624
92056731516
10802378644
11381a15a51
121a486b5b0
13ca306782
14787c8084
154a696c49
hex2fd35394

802378644 has 48 divisors (see below), whose sum is σ = 1966167168. Its totient is φ = 254187648.

The previous prime is 802378613. The next prime is 802378649. The reversal of 802378644 is 446873208.

It is a super-2 number, since 2×8023786442 = 1287622976694557472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 802378596 and 802378605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802378649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34074 + ... + 52590.

It is an arithmetic number, because the mean of its divisors is an integer number (40961816).

Almost surely, 2802378644 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 802378644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983083584).

802378644 is an abundant number, since it is smaller than the sum of its proper divisors (1163788524).

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

802378644 is a wasteful number, since it uses less digits than its factorization.

802378644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18704 (or 18702 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 802378644 is about 28326.2889203651. The cubic root of 802378644 is about 929.2369136413.

The spelling of 802378644 in words is "eight hundred two million, three hundred seventy-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 157 276 314 471 628 942 1884 3611 7222 10833 14444 18517 21666 37034 43332 55551 74068 111102 222204 425891 851782 1277673 1703564 2555346 2907169 5110692 5814338 8721507 11628676 17443014 34886028 66864887 133729774 200594661 267459548 401189322 802378644