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73231248 = 24341127293
BaseRepresentation
bin1000101110101…
…10101110010000
312002210112101110
410113112232100
5122221344443
611133333320
71546312116
oct427265620
9162715343
1073231248
11383787a2
1220637240
13122304cc
149a23ab6
156668233
hex45d6b90

73231248 has 80 divisors (see below), whose sum is σ = 195987456. Its totient is φ = 23546880.

The previous prime is 73231243. The next prime is 73231253. The reversal of 73231248 is 84213237.

It is an interprime number because it is at equal distance from previous prime (73231243) and next prime (73231253).

It is not an unprimeable number, because it can be changed into a prime (73231243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 249790 + ... + 250082.

Almost surely, 273231248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73231248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97993728).

73231248 is an abundant number, since it is smaller than the sum of its proper divisors (122756208).

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

73231248 is a wasteful number, since it uses less digits than its factorization.

73231248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 73231248 is about 8557.5258106535. The cubic root of 73231248 is about 418.3747621530.

The spelling of 73231248 in words is "seventy-three million, two hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 127 164 246 254 293 328 381 492 508 586 656 762 879 984 1016 1172 1524 1758 1968 2032 2344 3048 3516 4688 5207 6096 7032 10414 12013 14064 15621 20828 24026 31242 36039 37211 41656 48052 62484 72078 74422 83312 96104 111633 124968 144156 148844 192208 223266 249936 288312 297688 446532 576624 595376 893064 1525651 1786128 3051302 4576953 6102604 9153906 12205208 18307812 24410416 36615624 73231248