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2738904896 = 26713470279
BaseRepresentation
bin1010001101000000…
…0101111101000000
321001212201210012002
42203100011331000
521102124424041
61131440123132
7124605210320
oct24320057500
97055653162
102738904896
111186049872
126453064a8
133485889b0
141bda7d280
151106bc59b
hexa3405f40

2738904896 has 56 divisors (see below), whose sum is σ = 6689262720. Its totient is φ = 1083520512.

The previous prime is 2738904871. The next prime is 2738904899. The reversal of 2738904896 is 6984098372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738904899) 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, 229316 + ... + 240963.

It is an arithmetic number, because the mean of its divisors is an integer number (119451120).

Almost surely, 22738904896 is an apocalyptic number.

2738904896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2738904896 is an abundant number, since it is smaller than the sum of its proper divisors (3950357824).

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

2738904896 is a wasteful number, since it uses less digits than its factorization.

2738904896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470311 (or 470301 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The square root of 2738904896 is about 52334.5478245489. The cubic root of 2738904896 is about 1399.1329488411.

The spelling of 2738904896 in words is "two billion, seven hundred thirty-eight million, nine hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 470279 940558 1881116 3291953 3762232 6113627 6583906 7524464 12227254 13167812 15048928 24454508 26335624 30097856 42795389 48909016 52671248 85590778 97818032 105342496 171181556 195636064 210684992 342363112 391272128 684726224 1369452448 2738904896