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2073792448 = 26713356077
BaseRepresentation
bin111101110011011…
…1000111111000000
312100112012120102201
41323212320333000
513221342324243
6541440322544
7102250642060
oct17346707700
95315176381
102073792448
11974668a62
1249a613454
13270843130
141595c73a0
15c20dc04d
hex7b9b8fc0

2073792448 has 56 divisors (see below), whose sum is σ = 5064853472. Its totient is φ = 820399104.

The previous prime is 2073792443. The next prime is 2073792451. The reversal of 2073792448 is 8442973702.

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

It is a junction number, because it is equal to n+sod(n) for n = 2073792398 and 2073792407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073792443) 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, 172215 + ... + 183862.

It is an arithmetic number, because the mean of its divisors is an integer number (90443812).

Almost surely, 22073792448 is an apocalyptic number.

2073792448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2073792448 is an abundant number, since it is smaller than the sum of its proper divisors (2991061024).

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

2073792448 is a wasteful number, since it uses less digits than its factorization.

2073792448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356109 (or 356099 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The square root of 2073792448 is about 45538.9113616037. The cubic root of 2073792448 is about 1275.2297313583.

The spelling of 2073792448 in words is "two billion, seventy-three million, seven hundred ninety-two thousand, four hundred forty-eight".

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 356077 712154 1424308 2492539 2848616 4629001 4985078 5697232 9258002 9970156 11394464 18516004 19940312 22788928 32403007 37032008 39880624 64806014 74064016 79761248 129612028 148128032 159522496 259224056 296256064 518448112 1036896224 2073792448