Search a number
-
+
5739216 = 2437192931
BaseRepresentation
bin10101111001001011010000
3101210120201120
4111321023100
52432123331
6323002240
766532260
oct25711320
911716646
105739216
11326aa5a
121b09380
13125c3b2
14a957a0
15785796
hex5792d0

5739216 has 160 divisors (see below), whose sum is σ = 19046400. Its totient is φ = 1451520.

The previous prime is 5739203. The next prime is 5739229. The reversal of 5739216 is 6129375.

It is an interprime number because it is at equal distance from previous prime (5739203) and next prime (5739229).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185121 + ... + 185151.

It is an arithmetic number, because the mean of its divisors is an integer number (119040).

Almost surely, 25739216 is an apocalyptic number.

5739216 is a gapful number since it is divisible by the number (56) 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 5739216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523200).

5739216 is an abundant number, since it is smaller than the sum of its proper divisors (13307184).

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

5739216 is a wasteful number, since it uses less digits than its factorization.

5739216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 5739216 is about 2395.6660869161. Note that the first 3 decimals coincide. The cubic root of 5739216 is about 179.0403246541.

The spelling of 5739216 in words is "five million, seven hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 29 31 38 42 48 56 57 58 62 76 84 87 93 112 114 116 124 133 152 168 174 186 203 217 228 232 248 266 304 336 348 372 399 406 434 456 464 496 532 551 589 609 651 696 744 798 812 868 899 912 1064 1102 1178 1218 1302 1392 1488 1596 1624 1653 1736 1767 1798 2128 2204 2356 2436 2604 2697 3192 3248 3306 3472 3534 3596 3857 4123 4408 4712 4872 5208 5394 6293 6384 6612 7068 7192 7714 8246 8816 9424 9744 10416 10788 11571 12369 12586 13224 14136 14384 15428 16492 17081 18879 21576 23142 24738 25172 26448 28272 30856 32984 34162 37758 43152 46284 49476 50344 51243 61712 65968 68324 75516 92568 98952 100688 102486 119567 136648 151032 185136 197904 204972 239134 273296 302064 358701 409944 478268 717402 819888 956536 1434804 1913072 2869608 5739216