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73428192 = 2532254959
BaseRepresentation
bin1000110000001…
…10110011100000
312010011112112200
410120012303200
5122244200232
611141453200
71551062235
oct430066340
9163145480
1073428192
11384a2762
1220711200
131229c046
149a7578c
1566a677c
hex4606ce0

73428192 has 36 divisors (see below), whose sum is σ = 208812240. Its totient is φ = 24475968.

The previous prime is 73428169. The next prime is 73428197. The reversal of 73428192 is 29182437.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73428197) 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, 127192 + ... + 127767.

It is an arithmetic number, because the mean of its divisors is an integer number (5800340).

Almost surely, 273428192 is an apocalyptic number.

73428192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73428192 is an abundant number, since it is smaller than the sum of its proper divisors (135384048).

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

73428192 is a wasteful number, since it uses less digits than its factorization.

73428192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254975 (or 254964 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 73428192 is about 8569.0251487553. The cubic root of 73428192 is about 418.7494776261.

The spelling of 73428192 in words is "seventy-three million, four hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 254959 509918 764877 1019836 1529754 2039672 2294631 3059508 4079344 4589262 6119016 8158688 9178524 12238032 18357048 24476064 36714096 73428192