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2987686752 = 253233143649
BaseRepresentation
bin1011001000010100…
…0111101101100000
321201012212012201220
42302011013231200
522104321434002
61212244255040
7134015630001
oct26205075540
97635765656
102987686752
1112a3520306
126b46a1480
13387c92aab
14204b1d1a8
151274607bc
hexb2147b60

2987686752 has 96 divisors (see below), whose sum is σ = 8447846400. Its totient is φ = 921845760.

The previous prime is 2987686717. The next prime is 2987686753. The reversal of 2987686752 is 2576867892.

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 (2987686753) 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, 46624 + ... + 90272.

It is an arithmetic number, because the mean of its divisors is an integer number (87998400).

Almost surely, 22987686752 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 2987686752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223923200).

2987686752 is an abundant number, since it is smaller than the sum of its proper divisors (5460159648).

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

2987686752 is a wasteful number, since it uses less digits than its factorization.

2987686752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43716 (or 43708 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 60.

The square root of 2987686752 is about 54659.7361135233. The cubic root of 2987686752 is about 1440.2736671230.

The spelling of 2987686752 in words is "two billion, nine hundred eighty-seven million, six hundred eighty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 992 1104 1426 1488 2139 2208 2852 2976 4278 5704 8556 11408 17112 22816 34224 43649 68448 87298 130947 174596 261894 349192 523788 698384 1003927 1047576 1353119 1396768 2007854 2095152 2706238 3011781 4015708 4059357 4190304 5412476 6023562 8031416 8118714 10824952 12047124 16062832 16237428 21649904 24094248 31121737 32125664 32474856 43299808 48188496 62243474 64949712 93365211 96376992 124486948 129899424 186730422 248973896 373460844 497947792 746921688 995895584 1493843376 2987686752