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2387690496 = 210325092
BaseRepresentation
bin1000111001010001…
…0100010000000000
320011101212020121100
42032110110100000
514342222043441
61032532254400
7113112014532
oct21624242000
96141766540
102387690496
111015875234
12567771400
132c0898b19
14189177852
15de943cb6
hex8e514400

2387690496 has 99 divisors (see below), whose sum is σ = 6907976101. Its totient is φ = 794333184.

The previous prime is 2387690419. The next prime is 2387690507. The reversal of 2387690496 is 6940967832.

It is a happy number.

The square root of 2387690496 is 48864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1941636096 + 446054400 = 44064^2 + 21120^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4690690 + ... + 4691198.

Almost surely, 22387690496 is an apocalyptic number.

2387690496 is the 48864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2387690496

2387690496 is an abundant number, since it is smaller than the sum of its proper divisors (4520285605).

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

2387690496 is an frugal number, since it uses more digits than its factorization.

2387690496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The cubic root of 2387690496 is about 1336.5729790355.

The spelling of 2387690496 in words is "two billion, three hundred eighty-seven million, six hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 509 512 576 768 1018 1024 1152 1527 1536 2036 2304 3054 3072 4072 4581 4608 6108 8144 9162 9216 12216 16288 18324 24432 32576 36648 48864 65152 73296 97728 130304 146592 195456 259081 260608 293184 390912 518162 521216 586368 777243 781824 1036324 1172736 1554486 1563648 2072648 2331729 2345472 3108972 4145296 4663458 4690944 6217944 8290592 9326916 12435888 16581184 18653832 24871776 33162368 37307664 49743552 66324736 74615328 99487104 132649472 149230656 198974208 265298944 298461312 397948416 596922624 795896832 1193845248 2387690496