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4874364 = 2233112373
BaseRepresentation
bin10010100110000001111100
3100011122101000
4102212001330
52221434424
6252250300
756300655
oct22460174
910148330
104874364
11282a200
121770990
131018851
1490c52c
156643c9
hex4a607c

4874364 has 72 divisors (see below), whose sum is σ = 13927760. Its totient is φ = 1473120.

The previous prime is 4874339. The next prime is 4874377. The reversal of 4874364 is 4634784.

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

It is a d-powerful number, because it can be written as 43 + 87 + 76 + 47 + 313 + 63 + 410 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12882 + ... + 13254.

Almost surely, 24874364 is an apocalyptic number.

4874364 is a gapful number since it is divisible by the number (44) 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 4874364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963880).

4874364 is an abundant number, since it is smaller than the sum of its proper divisors (9053396).

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

4874364 is a wasteful number, since it uses less digits than its factorization.

4874364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 389 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4874364 is about 2207.7961862455. The cubic root of 4874364 is about 169.5531981190.

It can be divided in two parts, 487 and 4364, that added together give a triangular number (4851 = T98).

The spelling of 4874364 in words is "four million, eight hundred seventy-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 373 396 484 594 726 746 1089 1119 1188 1452 1492 2178 2238 3267 3357 4103 4356 4476 6534 6714 8206 10071 12309 13068 13428 16412 20142 24618 36927 40284 45133 49236 73854 90266 110781 135399 147708 180532 221562 270798 406197 443124 541596 812394 1218591 1624788 2437182 4874364