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4053868900 = 225263672
BaseRepresentation
bin1111000110100001…
…0010000101100100
3101110112001212200121
43301220102011210
531300242301100
61510132251324
7202313213524
oct36150220544
911415055617
104053868900
1117a0337784
12951770b44
134c7b32ac3
142a6577684
1518ad6651a
hexf1a12164

4053868900 has 27 divisors (see below), whose sum is σ = 8798277369. Its totient is φ = 1621292880.

The previous prime is 4053868873. The next prime is 4053868901. The reversal of 4053868900 is 98683504.

The square root of 4053868900 is 63670.

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., 1459392804 + 2594476096 = 38202^2 + 50936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4053868901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 633517 + ... + 639883.

Almost surely, 24053868900 is an apocalyptic number.

4053868900 is the 63670-th square number.

It is an amenable number.

4053868900 is an abundant number, since it is smaller than the sum of its proper divisors (4744408469).

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

4053868900 is an frugal number, since it uses more digits than its factorization.

4053868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12748 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The cubic root of 4053868900 is about 1594.4952625731.

The spelling of 4053868900 in words is "four billion, fifty-three million, eight hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6367 12734 25468 31835 63670 127340 159175 318350 636700 40538689 81077378 162154756 202693445 405386890 810773780 1013467225 2026934450 4053868900