Search a number
-
+
4914432 = 283579
BaseRepresentation
bin10010101111110100000000
3100020200100000
4102233310000
52224230212
6253200000
756525535
oct22576400
910220300
104914432
112857316
121790000
131030b63
1491cd8c
156711dc
hex4afd00

4914432 has 108 divisors (see below), whose sum is σ = 14880320. Its totient is φ = 1617408.

The previous prime is 4914431. The next prime is 4914443. The reversal of 4914432 is 2344194.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4914396 and 4914405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4914431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62169 + ... + 62247.

Almost surely, 24914432 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 4914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440160).

4914432 is an abundant number, since it is smaller than the sum of its proper divisors (9965888).

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

4914432 is an frugal number, since it uses more digits than its factorization.

4914432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4914432 is about 2216.8518218411. The cubic root of 4914432 is about 170.0165151199.

The spelling of 4914432 in words is "four million, nine hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 128 144 158 162 192 216 237 243 256 288 316 324 384 432 474 486 576 632 648 711 768 864 948 972 1152 1264 1296 1422 1728 1896 1944 2133 2304 2528 2592 2844 3456 3792 3888 4266 5056 5184 5688 6399 6912 7584 7776 8532 10112 10368 11376 12798 15168 15552 17064 19197 20224 20736 22752 25596 30336 31104 34128 38394 45504 51192 60672 62208 68256 76788 91008 102384 136512 153576 182016 204768 273024 307152 409536 546048 614304 819072 1228608 1638144 2457216 4914432