Search a number
-
+
5074368 = 2631319107
BaseRepresentation
bin10011010110110111000000
3100112210201120
4103112313000
52244334433
6300432240
761063035
oct23266700
910483646
105074368
1129564a2
121848680
1310888b0
1496138c
156a37b3
hex4d6dc0

5074368 has 112 divisors (see below), whose sum is σ = 15361920. Its totient is φ = 1465344.

The previous prime is 5074357. The next prime is 5074369. The reversal of 5074368 is 8634705.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5074369) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47371 + ... + 47477.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

Almost surely, 25074368 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 5074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960).

5074368 is an abundant number, since it is smaller than the sum of its proper divisors (10287552).

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

5074368 is a wasteful number, since it uses less digits than its factorization.

5074368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5074368 is about 2252.6357894697. The cubic root of 5074368 is about 171.8412091367.

The spelling of 5074368 in words is "five million, seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 107 114 152 156 192 208 214 228 247 304 312 321 416 428 456 494 608 624 642 741 832 856 912 988 1216 1248 1284 1391 1482 1712 1824 1976 2033 2496 2568 2782 2964 3424 3648 3952 4066 4173 5136 5564 5928 6099 6848 7904 8132 8346 10272 11128 11856 12198 15808 16264 16692 20544 22256 23712 24396 26429 32528 33384 44512 47424 48792 52858 65056 66768 79287 89024 97584 105716 130112 133536 158574 195168 211432 267072 317148 390336 422864 634296 845728 1268592 1691456 2537184 5074368