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5442528 = 253721389
BaseRepresentation
bin10100110000101111100000
3101020111202010
4110300233200
52343130103
6312352520
764155300
oct24605740
911214663
105442528
113088063
1219a5740
131187340
14a19600
15727903
hex530be0

5442528 has 144 divisors (see below), whose sum is σ = 18098640. Its totient is φ = 1419264.

The previous prime is 5442527. The next prime is 5442529. The reversal of 5442528 is 8252445.

It is an interprime number because it is at equal distance from previous prime (5442527) and next prime (5442529).

It is a super-2 number, since 2×54425282 = 59242222061568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5442495 and 5442504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5442527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61108 + ... + 61196.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 25442528 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 5442528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049320).

5442528 is an abundant number, since it is smaller than the sum of its proper divisors (12656112).

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

5442528 is a wasteful number, since it uses less digits than its factorization.

5442528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 5442528 is about 2332.9226305216. The cubic root of 5442528 is about 175.9004257689.

The spelling of 5442528 in words is "five million, four hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 89 91 96 98 104 112 147 156 168 178 182 196 208 224 267 273 294 312 336 356 364 392 416 534 546 588 623 624 637 672 712 728 784 1068 1092 1157 1176 1246 1248 1274 1424 1456 1568 1869 1911 2136 2184 2314 2352 2492 2548 2848 2912 3471 3738 3822 4272 4361 4368 4628 4704 4984 5096 6942 7476 7644 8099 8544 8722 8736 9256 9968 10192 13083 13884 14952 15288 16198 17444 18512 19936 20384 24297 26166 27768 29904 30576 32396 34888 37024 48594 52332 55536 56693 59808 61152 64792 69776 97188 104664 111072 113386 129584 139552 170079 194376 209328 226772 259168 340158 388752 418656 453544 680316 777504 907088 1360632 1814176 2721264 5442528