Search a number
-
+
4913856 = 263219449
BaseRepresentation
bin10010101111101011000000
3100020122112200
4102233223000
52224220411
6253153200
756524053
oct22575300
910218480
104913856
112856942
12178b800
13103080c
1491ca9a
15670e56
hex4afac0

4913856 has 84 divisors (see below), whose sum is σ = 14859000. Its totient is φ = 1548288.

The previous prime is 4913813. The next prime is 4913861. The reversal of 4913856 is 6583194.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4913856.

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 11 ways as a sum of consecutive naturals, for example, 10720 + ... + 11168.

Almost surely, 24913856 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 4913856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429500).

4913856 is an abundant number, since it is smaller than the sum of its proper divisors (9945144).

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

4913856 is a wasteful number, since it uses less digits than its factorization.

4913856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 473 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4913856 is about 2216.7219040737. The cubic root of 4913856 is about 170.0098725524.

It can be divided in two parts, 49138 and 56, that added together give a palindrome (49194).

The spelling of 4913856 in words is "four million, nine hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 449 456 576 608 684 898 912 1216 1347 1368 1796 1824 2694 2736 3592 3648 4041 5388 5472 7184 8082 8531 10776 10944 14368 16164 17062 21552 25593 28736 32328 34124 43104 51186 64656 68248 76779 86208 102372 129312 136496 153558 204744 258624 272992 307116 409488 545984 614232 818976 1228464 1637952 2456928 4913856