Search a number
-
+
3725616704 = 263112171543
BaseRepresentation
bin1101111000010000…
…0110011001000000
3100121122101221022212
43132010012121000
530112224213304
61413404521252
7161216135165
oct33604063100
910548357285
103725616704
111642016a77
1287b850228
13474b22734
14274b2c06c
1516c12666e
hexde106640

3725616704 has 56 divisors (see below), whose sum is σ = 7642725888. Its totient is φ = 1800069120.

The previous prime is 3725616701. The next prime is 3725616733. The reversal of 3725616704 is 4076165273.

It is not an unprimeable number, because it can be changed into a prime (3725616701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2413757 + ... + 2415299.

It is an arithmetic number, because the mean of its divisors is an integer number (136477248).

Almost surely, 23725616704 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 3725616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821362944).

3725616704 is an abundant number, since it is smaller than the sum of its proper divisors (3917109184).

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

3725616704 is a wasteful number, since it uses less digits than its factorization.

3725616704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The square root of 3725616704 is about 61037.8301055993. The cubic root of 3725616704 is about 1550.2416139482.

The spelling of 3725616704 in words is "three billion, seven hundred twenty-five million, six hundred sixteen thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1217 1543 1984 2434 3086 4868 6172 9736 12344 19472 24688 37727 38944 47833 49376 75454 77888 95666 98752 150908 191332 301816 382664 603632 765328 1207264 1530656 1877831 2414528 3061312 3755662 7511324 15022648 30045296 58212761 60090592 116425522 120181184 232851044 465702088 931404176 1862808352 3725616704