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2049269376 = 27372119901
BaseRepresentation
bin111101000100101…
…0101111010000000
312021211001200002210
41322021111322000
513144103110001
6535202542120
7101532334200
oct17211257200
95254050083
102049269376
11961839460
12492367940
1326873803b
14156242400
15bed95dd6
hex7a255e80

2049269376 has 192 divisors, whose sum is σ = 6908427360. Its totient is φ = 532224000.

The previous prime is 2049269363. The next prime is 2049269381. The reversal of 2049269376 is 6739629402.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×20492693762 = 8399009950822858752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 202026 + ... + 211926.

Almost surely, 22049269376 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 2049269376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454213680).

2049269376 is an abundant number, since it is smaller than the sum of its proper divisors (4859157984).

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

2049269376 is a wasteful number, since it uses less digits than its factorization.

2049269376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9943 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 2049269376 is about 45268.8565793306. The cubic root of 2049269376 is about 1270.1831583235.

The spelling of 2049269376 in words is "two billion, forty-nine million, two hundred sixty-nine thousand, three hundred seventy-six".