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73048032 = 2532253639
BaseRepresentation
bin1000101101010…
…01111111100000
312002110020001200
410112221333200
5122200014112
611125401200
71544620011
oct426517740
9162406050
1073048032
1138263082
1220569200
1312197cb5
1499b7008
15662dcdc
hex45a9fe0

73048032 has 36 divisors (see below), whose sum is σ = 207731160. Its totient is φ = 24349248.

The previous prime is 73048007. The next prime is 73048037. The reversal of 73048032 is 23084037.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 73047987 and 73048005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73048037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126532 + ... + 127107.

It is an arithmetic number, because the mean of its divisors is an integer number (5770310).

Almost surely, 273048032 is an apocalyptic number.

73048032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73048032 is an abundant number, since it is smaller than the sum of its proper divisors (134683128).

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

73048032 is a wasteful number, since it uses less digits than its factorization.

73048032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253655 (or 253644 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 73048032 is about 8546.8141432934. The cubic root of 73048032 is about 418.0255625645.

The spelling of 73048032 in words is "seventy-three million, forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 253639 507278 760917 1014556 1521834 2029112 2282751 3043668 4058224 4565502 6087336 8116448 9131004 12174672 18262008 24349344 36524016 73048032