Search a number
-
+
1399982528 = 26724331031
BaseRepresentation
bin101001101110010…
…0000100111000000
310121120022110222202
41103130200213000
510331343420103
6350530252332
746456440500
oct12334404700
93546273882
101399982528
1165928765a
12330a270a8
13194073839
14d3d09a00
1582d8e988
hex537209c0

1399982528 has 84 divisors (see below), whose sum is σ = 3242261232. Its totient is φ = 598026240.

The previous prime is 1399982527. The next prime is 1399982531. The reversal of 1399982528 is 8252899931.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399982527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1357373 + ... + 1358403.

It is an arithmetic number, because the mean of its divisors is an integer number (38598348).

Almost surely, 21399982528 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 1399982528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621130616).

1399982528 is an abundant number, since it is smaller than the sum of its proper divisors (1842278704).

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

1399982528 is a wasteful number, since it uses less digits than its factorization.

1399982528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1473 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 56.

The square root of 1399982528 is about 37416.3403875900. The cubic root of 1399982528 is about 1118.6842883160.

The spelling of 1399982528 in words is "one billion, three hundred ninety-nine million, nine hundred eighty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 433 448 784 866 1031 1568 1732 2062 3031 3136 3464 4124 6062 6928 7217 8248 12124 13856 14434 16496 21217 24248 27712 28868 32992 42434 48496 50519 57736 65984 84868 96992 101038 115472 169736 193984 202076 230944 339472 404152 446423 461888 678944 808304 892846 1357888 1616608 1785692 3124961 3233216 3571384 6249922 7142768 12499844 14285536 21874727 24999688 28571072 43749454 49999376 87498908 99998752 174997816 199997504 349995632 699991264 1399982528