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5144958 = 234713349
BaseRepresentation
bin10011101000000101111110
3100200101120000
4103220011332
52304114313
6302135130
761505610
oct23500576
910611500
105144958
1129a4535
1218814a6
1310b1a70
1497cdb0
156b9673
hex4e817e

5144958 has 80 divisors (see below), whose sum is σ = 14229600. Its totient is φ = 1353024.

The previous prime is 5144957. The next prime is 5144959. The reversal of 5144958 is 8594415.

5144958 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5144957) and next prime (5144959).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14568 + ... + 14916.

It is an arithmetic number, because the mean of its divisors is an integer number (177870).

Almost surely, 25144958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5144958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114800).

5144958 is an abundant number, since it is smaller than the sum of its proper divisors (9084642).

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

5144958 is a wasteful number, since it uses less digits than its factorization.

5144958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 5144958 is about 2268.2499862229. The cubic root of 5144958 is about 172.6343754472.

The spelling of 5144958 in words is "five million, one hundred forty-four thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 349 351 378 546 567 698 702 819 1047 1053 1134 1638 2094 2106 2443 2457 3141 4537 4886 4914 6282 7329 7371 9074 9423 13611 14658 14742 18846 21987 27222 28269 31759 40833 43974 56538 63518 65961 81666 95277 122499 131922 190554 197883 244998 285831 367497 395766 571662 734994 857493 1714986 2572479 5144958