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4285987296 = 253211457463
BaseRepresentation
bin1111111101110110…
…1111100111100000
3102001200211201021020
43333131233213200
532234203043141
61545143325440
7211132201533
oct37735574740
912050751236
104285987296
1118aa367768
129b7450880
13533c54376
142c931aa1a
151a1417266
hexff76f9e0

4285987296 has 96 divisors (see below), whose sum is σ = 11353241088. Its totient is φ = 1415715840.

The previous prime is 4285987273. The next prime is 4285987297. The reversal of 4285987296 is 6927895824.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285987297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9256761 + ... + 9257223.

It is an arithmetic number, because the mean of its divisors is an integer number (118262928).

Almost surely, 24285987296 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 4285987296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676620544).

4285987296 is an abundant number, since it is smaller than the sum of its proper divisors (7067253792).

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

4285987296 is a wasteful number, since it uses less digits than its factorization.

4285987296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1136 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The square root of 4285987296 is about 65467.4521880911. The cubic root of 4285987296 is about 1624.3650121479.

The spelling of 4285987296 in words is "four billion, two hundred eighty-five million, nine hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 457 463 633 844 914 926 1266 1371 1389 1688 1828 1852 2532 2742 2778 3376 3656 3704 5064 5484 5556 6752 7312 7408 10128 10968 11112 14624 14816 20256 21936 22224 43872 44448 96427 97693 192854 195386 211591 289281 293079 385708 390772 423182 578562 586158 634773 771416 781544 846364 1157124 1172316 1269546 1542832 1563088 1692728 2314248 2344632 2539092 3085664 3126176 3385456 4628496 4689264 5078184 6770912 9256992 9378528 10156368 20312736 44645701 89291402 133937103 178582804 267874206 357165608 535748412 714331216 1071496824 1428662432 2142993648 4285987296