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4542760000 = 26543372
BaseRepresentation
bin1000011101100010…
…10000010001000000
3102201121000010012101
410032301100101000
533300421310000
62030435040144
7220400552152
oct41661202100
912647003171
104542760000
111a212a6909
12a69440054
135751c868c
1431147aad2
151b8c37e6a
hex10ec50440

4542760000 has 105 divisors (see below), whose sum is σ = 11298093609. Its totient is φ = 1811712000.

The previous prime is 4542759961. The next prime is 4542760049. The reversal of 4542760000 is 672454.

The square root of 4542760000 is 67400.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4237489216 + 305270784 = 65096^2 + 17472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13479832 + ... + 13480168.

Almost surely, 24542760000 is an apocalyptic number.

4542760000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4542760000 is the 67400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4542760000

4542760000 is an abundant number, since it is smaller than the sum of its proper divisors (6755333609).

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

4542760000 is an frugal number, since it uses more digits than its factorization.

4542760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The cubic root of 4542760000 is about 1656.1764225057.

The spelling of 4542760000 in words is "four billion, five hundred forty-two million, seven hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 337 400 500 625 674 800 1000 1250 1348 1600 1685 2000 2500 2696 3370 4000 5000 5392 6740 8000 8425 10000 10784 13480 16850 20000 21568 26960 33700 40000 42125 53920 67400 84250 107840 113569 134800 168500 210625 227138 269600 337000 421250 454276 539200 567845 674000 842500 908552 1135690 1348000 1685000 1817104 2271380 2696000 2839225 3370000 3634208 4542760 5678450 6740000 7268416 9085520 11356900 13480000 14196125 18171040 22713800 28392250 36342080 45427600 56784500 70980625 90855200 113569000 141961250 181710400 227138000 283922500 454276000 567845000 908552000 1135690000 2271380000 4542760000