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4933152 = 253272447
BaseRepresentation
bin10010110100011000100000
3100021122000100
4102310120200
52230330102
6253422400
756634240
oct22643040
910248010
104933152
11286a394
12179aa00
131039533
14925b20
15676a1c
hex4b4620

4933152 has 72 divisors (see below), whose sum is σ = 16039296. Its totient is φ = 1408896.

The previous prime is 4933147. The next prime is 4933153. The reversal of 4933152 is 2513394.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4933153) 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, 793 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (222768).

Almost surely, 24933152 is an apocalyptic number.

4933152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4933152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019648).

4933152 is an abundant number, since it is smaller than the sum of its proper divisors (11106144).

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

4933152 is a wasteful number, since it uses less digits than its factorization.

4933152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2459 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 4933152 is about 2221.0700124039. The cubic root of 4933152 is about 170.2321166050.

It can be divided in two parts, 4 and 933152, that added together give a square (933156 = 9662).

The spelling of 4933152 in words is "four million, nine hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2447 4894 7341 9788 14682 17129 19576 22023 29364 34258 39152 44046 51387 58728 68516 78304 88092 102774 117456 137032 154161 176184 205548 234912 274064 308322 352368 411096 548128 616644 704736 822192 1233288 1644384 2466576 4933152