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5142432 = 2531723137
BaseRepresentation
bin10011100111011110100000
3100200021002110
4103213132200
52304024212
6302115320
761465341
oct23473640
910607073
105142432
1129a2649
12187bb40
1310b0879
1497c0c8
156b8a3c
hex4e77a0

5142432 has 96 divisors (see below), whose sum is σ = 15023232. Its totient is φ = 1531904.

The previous prime is 5142421. The next prime is 5142461. The reversal of 5142432 is 2342415.

5142432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5142399 and 5142408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37468 + ... + 37604.

It is an arithmetic number, because the mean of its divisors is an integer number (156492).

Almost surely, 25142432 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 5142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7511616).

5142432 is an abundant number, since it is smaller than the sum of its proper divisors (9880800).

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

5142432 is a wasteful number, since it uses less digits than its factorization.

5142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 5142432 is about 2267.6931009288. The cubic root of 5142432 is about 172.6061182798.

Adding to 5142432 its reverse (2342415), we get a palindrome (7484847).

The spelling of 5142432 in words is "five million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 137 138 184 204 272 274 276 368 391 408 411 544 548 552 736 782 816 822 1096 1104 1173 1564 1632 1644 2192 2208 2329 2346 3128 3151 3288 4384 4658 4692 6256 6302 6576 6987 9316 9384 9453 12512 12604 13152 13974 18632 18768 18906 25208 27948 37264 37536 37812 50416 53567 55896 74528 75624 100832 107134 111792 151248 160701 214268 223584 302496 321402 428536 642804 857072 1285608 1714144 2571216 5142432