[go: up one dir, main page]

Search a number
-
+
5467904 = 28133153
BaseRepresentation
bin10100110110111100000000
3101021210112222
4110312330000
52344433104
6313110212
764322261
oct24667400
911253488
105467904
1130a5132
1219b8368
131195a60
14a24968
157301be
hex536f00

5467904 has 72 divisors (see below), whose sum is σ = 12362112. Its totient is φ = 2396160.

The previous prime is 5467901. The next prime is 5467907. The reversal of 5467904 is 4097645.

It is an interprime number because it is at equal distance from previous prime (5467901) and next prime (5467907).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5467901) 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, 103142 + ... + 103194.

It is an arithmetic number, because the mean of its divisors is an integer number (171696).

Almost surely, 25467904 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 5467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056).

5467904 is an abundant number, since it is smaller than the sum of its proper divisors (6894208).

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

5467904 is a wasteful number, since it uses less digits than its factorization.

5467904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 5467904 is about 2338.3549773291. The cubic root of 5467904 is about 176.1733828583.

The spelling of 5467904 in words is "five million, four hundred sixty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 31 32 52 53 62 64 104 106 124 128 208 212 248 256 403 416 424 496 689 806 832 848 992 1378 1612 1643 1664 1696 1984 2756 3224 3286 3328 3392 3968 5512 6448 6572 6784 7936 11024 12896 13144 13568 21359 22048 25792 26288 42718 44096 51584 52576 85436 88192 103168 105152 170872 176384 210304 341744 420608 683488 1366976 2733952 5467904