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873690048 = 263271119699
BaseRepresentation
bin110100000100110…
…111001111000000
32020220000001102200
4310010313033000
53242131040143
6222410113200
730436146210
oct6404671700
92226001380
10873690048
114091a22a0
1220471b800
1310c01417a
148406c240
1551a811d3
hex341373c0

873690048 has 168 divisors, whose sum is σ = 3122371200. Its totient is φ = 226920960.

The previous prime is 873690031. The next prime is 873690089. The reversal of 873690048 is 840096378.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 873689985 and 873690012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34503 + ... + 54201.

Almost surely, 2873690048 is an apocalyptic number.

873690048 is a gapful number since it is divisible by the number (88) 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 873690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561185600).

873690048 is an abundant number, since it is smaller than the sum of its proper divisors (2248681152).

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

873690048 is a wasteful number, since it uses less digits than its factorization.

873690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19735 (or 19722 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 873690048 is about 29558.2483919464. The cubic root of 873690048 is about 955.9880486126.

The spelling of 873690048 in words is "eight hundred seventy-three million, six hundred ninety thousand, forty-eight".