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73872048 = 2432953069
BaseRepresentation
bin1000110011100…
…11001010110000
312011000002101210
410121303022300
5122402401143
611155200120
71554621255
oct431631260
9164002353
1073872048
1138776188
12208a6040
13123c6093
149b4d42c
156743033
hex46732b0

73872048 has 40 divisors (see below), whose sum is σ = 197420400. Its totient is φ = 23774464.

The previous prime is 73872041. The next prime is 73872049. The reversal of 73872048 is 84027837.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73871997 and 73872015.

It is not an unprimeable number, because it can be changed into a prime (73872041) 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, 25143 + ... + 27926.

It is an arithmetic number, because the mean of its divisors is an integer number (4935510).

Almost surely, 273872048 is an apocalyptic number.

It is an amenable number.

73872048 is an abundant number, since it is smaller than the sum of its proper divisors (123548352).

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

73872048 is a wasteful number, since it uses less digits than its factorization.

73872048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53109 (or 53103 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 73872048 is about 8594.8849905045. The cubic root of 73872048 is about 419.5915303105.

The spelling of 73872048 in words is "seventy-three million, eight hundred seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 53069 106138 159207 212276 318414 424552 636828 849104 1273656 1539001 2547312 3078002 4617003 6156004 9234006 12312008 18468012 24624016 36936024 73872048