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5462964 = 2234131297
BaseRepresentation
bin10100110101101110110100
3101021112210000
4110311232310
52344303324
6313031300
764302003
oct24655664
911245700
105462964
1130a1451
1219b5530
131193730
14a22c3a
1572d9c9
hex535bb4

5462964 has 60 divisors (see below), whose sum is σ = 15391684. Its totient is φ = 1679616.

The previous prime is 5462959. The next prime is 5462981. The reversal of 5462964 is 4692645.

It can be written as a sum of positive squares in 2 ways, for example, as 3640464 + 1822500 = 1908^2 + 1350^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 3564 + ... + 4860.

Almost surely, 25462964 is an apocalyptic number.

5462964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5462964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695842).

5462964 is an abundant number, since it is smaller than the sum of its proper divisors (9928720).

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

5462964 is a wasteful number, since it uses less digits than its factorization.

5462964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1315 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5462964 is about 2337.2984405078. The cubic root of 5462964 is about 176.1203120208.

The spelling of 5462964 in words is "five million, four hundred sixty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1297 1404 2106 2594 3891 4212 5188 7782 11673 15564 16861 23346 33722 35019 46692 50583 67444 70038 101166 105057 140076 151749 202332 210114 303498 420228 455247 606996 910494 1365741 1820988 2731482 5462964