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5189376 = 28329233
BaseRepresentation
bin10011110010111100000000
3100202122111010
4103302330000
52312030001
6303120520
762052243
oct23627400
910678433
105189376
112a24945
1218a3140
1310c904a
1499125a
156c78d6
hex4f2f00

5189376 has 72 divisors (see below), whose sum is σ = 14348880. Its totient is φ = 1662976.

The previous prime is 5189363. The next prime is 5189377. The reversal of 5189376 is 6739815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5189377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22156 + ... + 22388.

It is an arithmetic number, because the mean of its divisors is an integer number (199290).

Almost surely, 25189376 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 5189376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174440).

5189376 is an abundant number, since it is smaller than the sum of its proper divisors (9159504).

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

5189376 is a wasteful number, since it uses less digits than its factorization.

5189376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 5189376 is about 2278.0201930624. The cubic root of 5189376 is about 173.1297544168.

It can be divided in two parts, 5189 and 376, that added together give a triangular number (5565 = T105).

The spelling of 5189376 in words is "five million, one hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 233 256 348 384 464 466 696 699 768 928 932 1392 1398 1856 1864 2784 2796 3712 3728 5568 5592 6757 7424 7456 11136 11184 13514 14912 20271 22272 22368 27028 29824 40542 44736 54056 59648 81084 89472 108112 162168 178944 216224 324336 432448 648672 864896 1297344 1729792 2594688 5189376