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4830672 = 2437111307
BaseRepresentation
bin10010011011010111010000
3100002102102210
4102123113100
52214040142
6251312120
756026410
oct22332720
910072383
104830672
1127aa3a0
12174b640
1310019b2
148da640
1565649c
hex49b5d0

4830672 has 80 divisors (see below), whose sum is σ = 15570432. Its totient is φ = 1253760.

The previous prime is 4830659. The next prime is 4830677. The reversal of 4830672 is 2760384.

It is a d-powerful number, because it can be written as 45 + 8 + 314 + 0 + 66 + 7 + 23 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4830677) 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, 3043 + ... + 4349.

Almost surely, 24830672 is an apocalyptic number.

4830672 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 4830672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7785216).

4830672 is an abundant number, since it is smaller than the sum of its proper divisors (10739760).

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

4830672 is a wasteful number, since it uses less digits than its factorization.

4830672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4830672 is about 2197.8789775600. The cubic root of 4830672 is about 169.0450727672.

The spelling of 4830672 in words is "four million, eight hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1307 1848 2614 3696 3921 5228 7842 9149 10456 14377 15684 18298 20912 27447 28754 31368 36596 43131 54894 57508 62736 73192 86262 100639 109788 115016 146384 172524 201278 219576 230032 301917 345048 402556 439152 603834 690096 805112 1207668 1610224 2415336 4830672