Search a number
-
+
3725542080 = 263351341809
BaseRepresentation
bin1101111000001111…
…0100001011000000
3100121122021010222000
43132003310023000
530112214321310
61413403144000
7161215404501
oct33603641300
910548233860
103725542080
111641a759a7
1287b815000
13474ac7790
14274b0cba8
1516c10e4c0
hexde0f42c0

3725542080 has 448 divisors, whose sum is σ = 14517014400. Its totient is φ = 893583360.

The previous prime is 3725542063. The next prime is 3725542103. The reversal of 3725542080 is 802455273.

3725542080 is a `hidden beast` number, since 3 + 7 + 2 + 554 + 20 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4604716 + ... + 4605524.

It is an arithmetic number, because the mean of its divisors is an integer number (32404050).

Almost surely, 23725542080 is an apocalyptic number.

3725542080 is a gapful number since it is divisible by the number (30) 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 3725542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7258507200).

3725542080 is an abundant number, since it is smaller than the sum of its proper divisors (10791472320).

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

3725542080 is a wasteful number, since it uses less digits than its factorization.

3725542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3725542080 is about 61037.2188095100. The cubic root of 3725542080 is about 1550.2312634468.

The spelling of 3725542080 in words is "three billion, seven hundred twenty-five million, five hundred forty-two thousand, eighty".