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5462424 = 233311319
BaseRepresentation
bin10100110101100110011000
3101021112001000
4110311212120
52344244144
6313025000
764300302
oct24654630
911245030
105462424
1130a1000
1219b5160
131193406
14a22972
1572d769
hex535998

5462424 has 128 divisors (see below), whose sum is σ = 17568000. Its totient is φ = 1568160.

The previous prime is 5462377. The next prime is 5462437. The reversal of 5462424 is 4242645.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 5462424 = 223 + 1763 = 993 + 1653.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287487 + ... + 287505.

It is an arithmetic number, because the mean of its divisors is an integer number (137250).

Almost surely, 25462424 is an apocalyptic number.

5462424 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 5462424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8784000).

5462424 is an abundant number, since it is smaller than the sum of its proper divisors (12105576).

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

5462424 is a wasteful number, since it uses less digits than its factorization.

5462424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

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

The square root of 5462424 is about 2337.1829196706. The cubic root of 5462424 is about 176.1145088156.

It can be divided in two parts, 5462 and 424, that added together give a triangular number (5886 = T108).

The spelling of 5462424 in words is "five million, four hundred sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 121 132 152 171 198 209 216 228 242 264 297 342 363 396 418 456 484 513 594 627 684 726 792 836 968 1026 1089 1188 1254 1331 1368 1452 1672 1881 2052 2178 2299 2376 2508 2662 2904 3267 3762 3993 4104 4356 4598 5016 5324 5643 6534 6897 7524 7986 8712 9196 10648 11286 11979 13068 13794 15048 15972 18392 20691 22572 23958 25289 26136 27588 31944 35937 41382 45144 47916 50578 55176 62073 71874 75867 82764 95832 101156 124146 143748 151734 165528 202312 227601 248292 287496 303468 455202 496584 606936 682803 910404 1365606 1820808 2731212 5462424