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728376376 = 237213373863
BaseRepresentation
bin101011011010100…
…010010000111000
31212202120100112211
4223122202100320
52442431021001
6200135344504
724023045200
oct5332422070
91782510484
10728376376
11344170a52
12183b22134
13b7b96350
146ca43400
1543e2a351
hex2b6a2438

728376376 has 96 divisors (see below), whose sum is σ = 1757579040. Its totient is φ = 280288512.

The previous prime is 728376367. The next prime is 728376379. The reversal of 728376376 is 673673827.

It is a super-2 number, since 2×7283763762 = 1061064290229786752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728376379) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 186621 + ... + 190483.

It is an arithmetic number, because the mean of its divisors is an integer number (18308115).

Almost surely, 2728376376 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 728376376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878789520).

728376376 is an abundant number, since it is smaller than the sum of its proper divisors (1029202664).

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

728376376 is a wasteful number, since it uses less digits than its factorization.

728376376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3922 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 49.

The square root of 728376376 is about 26988.4489365358. The cubic root of 728376376 is about 899.7432913946.

The spelling of 728376376 in words is "seven hundred twenty-eight million, three hundred seventy-six thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 26 28 37 49 52 56 74 91 98 104 148 182 196 259 296 364 392 481 518 637 728 962 1036 1274 1813 1924 2072 2548 3367 3626 3848 3863 5096 6734 7252 7726 13468 14504 15452 23569 26936 27041 30904 47138 50219 54082 94276 100438 108164 142931 188552 189287 200876 216328 285862 351533 378574 401752 571724 703066 757148 1000517 1143448 1406132 1514296 1858103 2001034 2460731 2812264 3716206 4002068 4921462 7003619 7432412 8004136 9842924 13006721 14007238 14864824 19685848 26013442 28014476 52026884 56028952 91047047 104053768 182094094 364188188 728376376