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4688838 = 23271117199
BaseRepresentation
bin10001111000101111000110
322211012212200
4101320233012
52200020323
6244255330
754566040
oct21705706
98735780
104688838
112712880
1216a1546
13c8227b
148a0a90
15629443
hex478bc6

4688838 has 96 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 1140480.

The previous prime is 4688813. The next prime is 4688867. The reversal of 4688838 is 8388864.

4688838 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4688793 and 4688802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23463 + ... + 23661.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 24688838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4688838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

4688838 is an abundant number, since it is smaller than the sum of its proper divisors (8789562).

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

4688838 is a wasteful number, since it uses less digits than its factorization.

4688838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 239 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 4688838 is about 2165.3724852782. The cubic root of 4688838 is about 167.3741595841.

The spelling of 4688838 in words is "four million, six hundred eighty-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 199 231 238 306 357 374 398 462 561 597 693 714 1071 1122 1194 1309 1386 1393 1683 1791 2142 2189 2618 2786 3366 3383 3582 3927 4179 4378 6567 6766 7854 8358 10149 11781 12537 13134 15323 19701 20298 23562 23681 25074 30447 30646 37213 39402 45969 47362 60894 71043 74426 91938 111639 137907 142086 213129 223278 260491 275814 334917 426258 520982 669834 781473 1562946 2344419 4688838