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4849680 = 2435112167
BaseRepresentation
bin10010100000000000010000
3100010101111210
4102200000100
52220142210
6251540120
756136003
oct22400020
910111453
104849680
112812700
12175a640
13100a544
1490353a
1565be20
hex4a0010

4849680 has 120 divisors (see below), whose sum is σ = 16623936. Its totient is φ = 1168640.

The previous prime is 4849651. The next prime is 4849687. The reversal of 4849680 is 869484.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×48496802 = 47038792204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4849687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28957 + ... + 29123.

Almost surely, 24849680 is an apocalyptic number.

4849680 is a gapful number since it is divisible by the number (40) 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 4849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311968).

4849680 is an abundant number, since it is smaller than the sum of its proper divisors (11774256).

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

4849680 is a wasteful number, since it uses less digits than its factorization.

4849680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4849680 is about 2202.1989010986. The cubic root of 4849680 is about 169.2665052737.

The spelling of 4849680 in words is "four million, eight hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 167 176 220 240 242 264 330 334 363 440 484 501 528 605 660 668 726 835 880 968 1002 1210 1320 1336 1452 1670 1815 1837 1936 2004 2420 2505 2640 2672 2904 3340 3630 3674 4008 4840 5010 5511 5808 6680 7260 7348 8016 9185 9680 10020 11022 13360 14520 14696 18370 20040 20207 22044 27555 29040 29392 36740 40080 40414 44088 55110 60621 73480 80828 88176 101035 110220 121242 146960 161656 202070 220440 242484 303105 323312 404140 440880 484968 606210 808280 969936 1212420 1616560 2424840 4849680