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4053880580 = 225378961553
BaseRepresentation
bin1111000110100001…
…0100111100000100
3101110112002110201012
43301220110330010
531300243134310
61510132421352
7202313262551
oct36150247404
911415073635
104053880580
1117a0345532
12951777858
134c7b38209
142a657ba28
1518ad69c05
hexf1a14f04

4053880580 has 48 divisors (see below), whose sum is σ = 8841616560. Its totient is φ = 1559973888.

The previous prime is 4053880577. The next prime is 4053880631. The reversal of 4053880580 is 850883504.

It can be written as a sum of positive squares in 8 ways, for example, as 490268164 + 3563612416 = 22142^2 + 59696^2 .

It is a super-3 number, since 3×40538805803 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35084 + ... + 96636.

It is an arithmetic number, because the mean of its divisors is an integer number (184200345).

Almost surely, 24053880580 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 4053880580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420808280).

4053880580 is an abundant number, since it is smaller than the sum of its proper divisors (4787735980).

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

4053880580 is a wasteful number, since it uses less digits than its factorization.

4053880580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61688 (or 61686 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 4053880580 is about 63670.0917228804. The cubic root of 4053880580 is about 1594.4967939240.

The spelling of 4053880580 in words is "four billion, fifty-three million, eight hundred eighty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 89 148 178 185 356 370 445 740 890 1780 3293 6586 13172 16465 32930 61553 65860 123106 246212 307765 615530 1231060 2277461 4554922 5478217 9109844 10956434 11387305 21912868 22774610 27391085 45549220 54782170 109564340 202694029 405388058 810776116 1013470145 2026940290 4053880580