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2874675456 = 283211172
BaseRepresentation
bin1010101101011000…
…0001000100000000
321102100012122101100
42223112001010000
521341404103311
61153130134400
7131144224002
oct25326010400
97370178340
102874675456
111245752244
12682881400
1336a744bc3
141d3b02372
1511c58aa56
hexab581100

2874675456 has 81 divisors (see below), whose sum is σ = 8295824901. Its totient is φ = 957367296.

The previous prime is 2874675449. The next prime is 2874675473. The reversal of 2874675456 is 6545764782.

It is a happy number.

The square root of 2874675456 is 53616.

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

2874675456 is a `hidden beast` number, since 2 + 87 + 46 + 75 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127238400 + 2747437056 = 11280^2 + 52416^2 .

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, 2573010 + ... + 2574126.

Almost surely, 22874675456 is an apocalyptic number.

2874675456 is the 53616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2874675456

2874675456 is an abundant number, since it is smaller than the sum of its proper divisors (5421149445).

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

2874675456 is an frugal number, since it uses more digits than its factorization.

2874675456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 1122 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The cubic root of 2874675456 is about 1421.8799829868.

The spelling of 2874675456 in words is "two billion, eight hundred seventy-four million, six hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1117 1152 2234 2304 3351 4468 6702 8936 10053 13404 17872 20106 26808 35744 40212 53616 71488 80424 107232 142976 160848 214464 285952 321696 428928 643392 857856 1247689 1286784 2495378 2573568 3743067 4990756 7486134 9981512 11229201 14972268 19963024 22458402 29944536 39926048 44916804 59889072 79852096 89833608 119778144 159704192 179667216 239556288 319408384 359334432 479112576 718668864 958225152 1437337728 2874675456