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5642496 = 28323179
BaseRepresentation
bin10101100001100100000000
3101121200001100
4111201210000
52421024441
6320534400
765650266
oct25414400
911550040
105642496
113204322
121a81400
131227372
14a6c436
15766cb6
hex561900

5642496 has 108 divisors (see below), whose sum is σ = 17006080. Its totient is φ = 1797120.

The previous prime is 5642489. The next prime is 5642509. The reversal of 5642496 is 6942465.

5642496 is a `hidden beast` number, since 5 + 642 + 4 + 9 + 6 = 666.

It is a super-3 number, since 3×56424963 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5642496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71385 + ... + 71463.

Almost surely, 25642496 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 5642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503040).

5642496 is an abundant number, since it is smaller than the sum of its proper divisors (11363584).

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

5642496 is a wasteful number, since it uses less digits than its factorization.

5642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

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

The square root of 5642496 is about 2375.3938620785. The cubic root of 5642496 is about 178.0288637282.

The spelling of 5642496 in words is "five million, six hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 79 93 96 124 128 144 158 186 192 237 248 256 279 288 316 372 384 474 496 558 576 632 711 744 768 948 992 1116 1152 1264 1422 1488 1896 1984 2232 2304 2449 2528 2844 2976 3792 3968 4464 4898 5056 5688 5952 7347 7584 7936 8928 9796 10112 11376 11904 14694 15168 17856 19592 20224 22041 22752 23808 29388 30336 35712 39184 44082 45504 58776 60672 71424 78368 88164 91008 117552 156736 176328 182016 235104 313472 352656 470208 626944 705312 940416 1410624 1880832 2821248 5642496