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4902768 = 24351397
BaseRepresentation
bin10010101100111101110000
3100020002100000
4102230331300
52223342033
6253030000
756446533
oct22547560
910202300
104902768
112849582
121785300
131028760
14918a1a
1566ca13
hex4acf70

4902768 has 120 divisors (see below), whose sum is σ = 15481648. Its totient is φ = 1492992.

The previous prime is 4902767. The next prime is 4902773. The reversal of 4902768 is 8672094.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4902767) 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, 50496 + ... + 50592.

Almost surely, 24902768 is an apocalyptic number.

4902768 is a gapful number since it is divisible by the number (48) 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 4902768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740824).

4902768 is an abundant number, since it is smaller than the sum of its proper divisors (10578880).

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

4902768 is a wasteful number, since it uses less digits than its factorization.

4902768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4902768 is about 2214.2195013142. The cubic root of 4902768 is about 169.8819018291.

The spelling of 4902768 in words is "four million, nine hundred two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 97 104 108 117 144 156 162 194 208 216 234 243 291 312 324 351 388 432 468 486 582 624 648 702 776 873 936 972 1053 1164 1261 1296 1404 1552 1746 1872 1944 2106 2328 2522 2619 2808 3159 3492 3783 3888 4212 4656 5044 5238 5616 6318 6984 7566 7857 8424 10088 10476 11349 12636 13968 15132 15714 16848 20176 20952 22698 23571 25272 30264 31428 34047 41904 45396 47142 50544 60528 62856 68094 90792 94284 102141 125712 136188 181584 188568 204282 272376 306423 377136 408564 544752 612846 817128 1225692 1634256 2451384 4902768