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73045152 = 253428181
BaseRepresentation
bin1000101101010…
…01010010100000
312002110002010000
410112221102200
5122144421102
611125340000
71544605425
oct426512240
9162402100
1073045152
11382609a4
1220567600
13121968ab
1499b5d4c
15662d01c
hex45a94a0

73045152 has 60 divisors (see below), whose sum is σ = 214831386. Its totient is φ = 24347520.

The previous prime is 73045103. The next prime is 73045153. The reversal of 73045152 is 25154037.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 47279376 + 25765776 = 6876^2 + 5076^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (73045153) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11499 + ... + 16682.

Almost surely, 273045152 is an apocalyptic number.

73045152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73045152 is an abundant number, since it is smaller than the sum of its proper divisors (141786234).

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

73045152 is a wasteful number, since it uses less digits than its factorization.

73045152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28203 (or 28186 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 73045152 is about 8546.6456578005. The cubic root of 73045152 is about 418.0200687846.

Adding to 73045152 its reverse (25154037), we get a palindrome (98199189).

The spelling of 73045152 in words is "seventy-three million, forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 28181 56362 84543 112724 169086 225448 253629 338172 450896 507258 676344 760887 901792 1014516 1352688 1521774 2029032 2282661 2705376 3043548 4058064 4565322 6087096 8116128 9130644 12174192 18261288 24348384 36522576 73045152