Search a number
-
+
3574742976 = 26337595009
BaseRepresentation
bin1101010100010010…
…0011111111000000
3100020010111202111000
43111010203333000
524310113233401
61350415052000
7154404546120
oct32504437700
910203452430
103574742976
111574938342
12839211000
1344c7a8c3c
1425ca96c80
1515dc73186
hexd5123fc0

3574742976 has 224 divisors, whose sum is σ = 12216384000. Its totient is φ = 1003843584.

The previous prime is 3574742953. The next prime is 3574742989. The reversal of 3574742976 is 6792474753.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×35747429762 = 25557574688922673152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711160 + ... + 716168.

Almost surely, 23574742976 is an apocalyptic number.

3574742976 is a gapful number since it is divisible by the number (36) 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 3574742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108192000).

3574742976 is an abundant number, since it is smaller than the sum of its proper divisors (8641641024).

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

3574742976 is a wasteful number, since it uses less digits than its factorization.

3574742976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5080 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The square root of 3574742976 is about 59789.1543342101. The cubic root of 3574742976 is about 1529.0262469860.

The spelling of 3574742976 in words is "three billion, five hundred seventy-four million, seven hundred forty-two thousand, nine hundred seventy-six".