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2549442064 = 241329712
BaseRepresentation
bin1001011111110101…
…0110011000010000
320120200020002001011
42113331112120100
520210124121224
61100551220304
7120114620461
oct22775263020
96520202034
102549442064
111099103614
125b1977694
13318250900
141a2840d68
15edc45394
hex97f56610

2549442064 has 45 divisors (see below), whose sum is σ = 5354251149. Its totient is φ = 1175453760.

The previous prime is 2549442037. The next prime is 2549442083. The reversal of 2549442064 is 4602449452.

The square root of 2549442064 is 50492.

It is a perfect power (a square), and thus also a powerful number.

2549442064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 377136400 + 2172305664 = 19420^2 + 46608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2625099 + ... + 2626069.

Almost surely, 22549442064 is an apocalyptic number.

2549442064 is the 50492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2549442064

2549442064 is an abundant number, since it is smaller than the sum of its proper divisors (2804809085).

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

2549442064 is an frugal number, since it uses more digits than its factorization.

2549442064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The cubic root of 2549442064 is about 1366.0975601773.

The spelling of 2549442064 in words is "two billion, five hundred forty-nine million, four hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 971 1352 1942 2704 3884 7768 12623 15536 25246 50492 100984 164099 201968 328198 656396 942841 1312792 1885682 2625584 3771364 7542728 12256933 15085456 24513866 49027732 98055464 159340129 196110928 318680258 637360516 1274721032 2549442064