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73093332 = 223131034549
BaseRepresentation
bin1000101101101…
…01000011010100
312002112112012110
410112311003110
5122202441312
611130351020
71545166044
oct426650324
9162475173
1073093332
1138294114
122058b470
13121b27c0
1499c9724
15663c43c
hex45b50d4

73093332 has 48 divisors (see below), whose sum is σ = 185494400. Its totient is φ = 22267008.

The previous prime is 73093331. The next prime is 73093373. The reversal of 73093332 is 23339037.

It is a self number, because there is not a number n which added to its sum of digits gives 73093332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73093331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13794 + ... + 18342.

Almost surely, 273093332 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 73093332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92747200).

73093332 is an abundant number, since it is smaller than the sum of its proper divisors (112401068).

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

73093332 is a wasteful number, since it uses less digits than its factorization.

73093332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 30.

The square root of 73093332 is about 8549.4638428383. The cubic root of 73093332 is about 418.1119561532. Note that the first 3 decimals are identical.

The spelling of 73093332 in words is "seventy-three million, ninety-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 206 309 412 618 1236 1339 2678 4017 4549 5356 8034 9098 13647 16068 18196 27294 54588 59137 118274 177411 236548 354822 468547 709644 937094 1405641 1874188 2811282 5622564 6091111 12182222 18273333 24364444 36546666 73093332