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2049007104 = 293543383
BaseRepresentation
bin111101000100001…
…0101111000000000
312021210120100100000
41322020111320000
513144021211404
6535153200000
7101530162434
oct17210257000
95253510300
102049007104
1196167a401
12492260000
13268675851
141561b49c4
15bed43339
hex7a215e00

2049007104 has 240 divisors, whose sum is σ = 6291597312. Its totient is φ = 665376768.

The previous prime is 2049007097. The next prime is 2049007117. The reversal of 2049007104 is 4017009402.

It is a happy number.

It is a super-2 number, since 2×20490071042 = 8396860224484933632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5349697 + ... + 5350079.

Almost surely, 22049007104 is an apocalyptic number.

2049007104 is a gapful number since it is divisible by the number (24) 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 2049007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145798656).

2049007104 is an abundant number, since it is smaller than the sum of its proper divisors (4242590208).

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

2049007104 is an frugal number, since it uses more digits than its factorization.

2049007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2049007104 is about 45265.9596606545. The cubic root of 2049007104 is about 1270.1289686541.

The spelling of 2049007104 in words is "two billion, forty-nine million, seven thousand, one hundred four".