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4797984 = 253234153
BaseRepresentation
bin10010010011011000100000
3100000202121010
4102103120200
52212013414
6250500520
755532202
oct22233040
910022533
104797984
112787884
121734740
13cbcb59
148cc772
1564b959
hex493620

4797984 has 96 divisors (see below), whose sum is σ = 13716864. Its totient is φ = 1464320.

The previous prime is 4797973. The next prime is 4798009. The reversal of 4797984 is 4897974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90502 + ... + 90554.

It is an arithmetic number, because the mean of its divisors is an integer number (142884).

Almost surely, 24797984 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 4797984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858432).

4797984 is an abundant number, since it is smaller than the sum of its proper divisors (8918880).

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

4797984 is a wasteful number, since it uses less digits than its factorization.

4797984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 4797984 is about 2190.4300947531. The cubic root of 4797984 is about 168.6629136387.

The spelling of 4797984 in words is "four million, seven hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 53 69 82 92 96 106 123 138 159 164 184 212 246 276 318 328 368 424 492 552 636 656 736 848 943 984 1104 1219 1272 1312 1696 1886 1968 2173 2208 2438 2544 2829 3657 3772 3936 4346 4876 5088 5658 6519 7314 7544 8692 9752 11316 13038 14628 15088 17384 19504 22632 26076 29256 30176 34768 39008 45264 49979 52152 58512 69536 90528 99958 104304 117024 149937 199916 208608 299874 399832 599748 799664 1199496 1599328 2398992 4797984