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2855472040 = 2353715712289
BaseRepresentation
bin1010101000110011…
…0000101110101000
321101000002000020201
42222030300232220
521322000101130
61151202401544
7130522053241
oct25214605650
97330060221
102855472040
111235926453
126783602b4
13366780235
141d1343cc8
1511aa45bca
hexaa330ba8

2855472040 has 64 divisors (see below), whose sum is σ = 6641024400. Its totient is φ = 1104150528.

The previous prime is 2855472023. The next prime is 2855472079. The reversal of 2855472040 is 402745582.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2023380324 + 832091716 = 44982^2 + 28846^2 .

It is a super-3 number, since 3×28554720403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 226216 + ... + 238504.

Almost surely, 22855472040 is an apocalyptic number.

2855472040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2855472040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320512200).

2855472040 is an abundant number, since it is smaller than the sum of its proper divisors (3785552360).

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

2855472040 is a wasteful number, since it uses less digits than its factorization.

2855472040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12494 (or 12490 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 2855472040 is about 53436.6170336409. The cubic root of 2855472040 is about 1418.7067574910.

The spelling of 2855472040 in words is "two billion, eight hundred fifty-five million, four hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 157 185 296 314 370 628 740 785 1256 1480 1570 3140 5809 6280 11618 12289 23236 24578 29045 46472 49156 58090 61445 98312 116180 122890 232360 245780 454693 491560 909386 1818772 1929373 2273465 3637544 3858746 4546930 7717492 9093860 9646865 15434984 18187720 19293730 38587460 71386801 77174920 142773602 285547204 356934005 571094408 713868010 1427736020 2855472040