Search a number
-
+
4961736 = 2334131931
BaseRepresentation
bin10010111011010111001000
3100100002020000
4102323113020
52232233421
6254203000
760113463
oct22732710
910302200
104961736
11288990a
1217b3460
131049550
149322da
15680226
hex4bb5c8

4961736 has 160 divisors (see below), whose sum is σ = 16262400. Its totient is φ = 1399680.

The previous prime is 4961713. The next prime is 4961741. The reversal of 4961736 is 6371694.

4961736 is a `hidden beast` number, since 4 + 9 + 617 + 36 = 666.

4961736 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 45 + 97 + 62 + 1 + 73 + 311 + 63 .

Its product of digits (27216) is a multiple of the sum of its prime factors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 4961736.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160041 + ... + 160071.

It is an arithmetic number, because the mean of its divisors is an integer number (101640).

Almost surely, 24961736 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 4961736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131200).

4961736 is an abundant number, since it is smaller than the sum of its proper divisors (11300664).

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

4961736 is a wasteful number, since it uses less digits than its factorization.

4961736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 4961736 is about 2227.4954545408. The cubic root of 4961736 is about 170.5602737225.

The spelling of 4961736 in words is "four million, nine hundred sixty-one thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 31 36 38 39 52 54 57 62 72 76 78 81 93 104 108 114 117 124 152 156 162 171 186 216 228 234 247 248 279 312 324 342 351 372 403 456 468 494 513 558 589 648 684 702 741 744 806 837 936 988 1026 1053 1116 1178 1209 1368 1404 1482 1539 1612 1674 1767 1976 2052 2106 2223 2232 2356 2418 2511 2808 2964 3078 3224 3348 3534 3627 4104 4212 4446 4712 4836 5022 5301 5928 6156 6669 6696 7068 7254 7657 8424 8892 9672 10044 10602 10881 12312 13338 14136 14508 15314 15903 17784 20007 20088 21204 21762 22971 26676 29016 30628 31806 32643 40014 42408 43524 45942 47709 53352 61256 63612 65286 68913 80028 87048 91884 95418 127224 130572 137826 160056 183768 190836 206739 261144 275652 381672 413478 551304 620217 826956 1240434 1653912 2480868 4961736