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4804272 = 243411337
BaseRepresentation
bin10010010100111010110000
3100001002020000
4102110322300
52212214042
6250550000
755556424
oct22247260
910032200
104804272
112791580
121738300
13cc2985
148d0b84
1564d74c
hex494eb0

4804272 has 100 divisors (see below), whose sum is σ = 15214056. Its totient is φ = 1451520.

The previous prime is 4804271. The next prime is 4804273. The reversal of 4804272 is 2724084.

It is an interprime number because it is at equal distance from previous prime (4804271) and next prime (4804273).

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

It is not an unprimeable number, because it can be changed into a prime (4804271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14088 + ... + 14424.

Almost surely, 24804272 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 4804272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607028).

4804272 is an abundant number, since it is smaller than the sum of its proper divisors (10409784).

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

4804272 is a wasteful number, since it uses less digits than its factorization.

4804272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4804272 is about 2191.8649593440. The cubic root of 4804272 is about 168.7365618929.

The spelling of 4804272 in words is "four million, eight hundred four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 337 396 432 528 594 648 674 792 891 1011 1188 1296 1348 1584 1782 2022 2376 2696 3033 3564 3707 4044 4752 5392 6066 7128 7414 8088 9099 11121 12132 14256 14828 16176 18198 22242 24264 27297 29656 33363 36396 44484 48528 54594 59312 66726 72792 88968 100089 109188 133452 145584 177936 200178 218376 266904 300267 400356 436752 533808 600534 800712 1201068 1601424 2402136 4804272