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5384376 = 2332175383
BaseRepresentation
bin10100100010100010111000
3101010112222100
4110202202320
52334300001
6311223400
763523614
oct24424270
911115870
105384376
1130483a8
121977b60
131166a2a
14a02344
15715586
hex5228b8

5384376 has 96 divisors (see below), whose sum is σ = 15921360. Its totient is φ = 1637376.

The previous prime is 5384371. The next prime is 5384383. The reversal of 5384376 is 6734835.

5384376 = T424 + T425 + ... + T476.

It is a happy number.

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 57 + 312 + 8 + 411 + 312 + 74 + 66 .

It is a self number, because there is not a number n which added to its sum of digits gives 5384376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5384371) 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, 64831 + ... + 64913.

Almost surely, 25384376 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 5384376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960680).

5384376 is an abundant number, since it is smaller than the sum of its proper divisors (10536984).

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

5384376 is a wasteful number, since it uses less digits than its factorization.

5384376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5384376 is about 2320.4258229903. The cubic root of 5384376 is about 175.2716976831.

The spelling of 5384376 in words is "five million, three hundred eighty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 83 102 106 136 153 159 166 204 212 249 306 318 332 408 424 477 498 612 636 664 747 901 954 996 1224 1272 1411 1494 1802 1908 1992 2703 2822 2988 3604 3816 4233 4399 5406 5644 5976 7208 8109 8466 8798 10812 11288 12699 13197 16218 16932 17596 21624 25398 26394 32436 33864 35192 39591 50796 52788 64872 74783 79182 101592 105576 149566 158364 224349 299132 316728 448698 598264 673047 897396 1346094 1794792 2692188 5384376