Search a number
-
+
73550848 = 210731331
BaseRepresentation
bin1000110001001…
…00110000000000
312010101202210111
410120210300000
5122312111343
611144241104
71552112650
oct430446000
9163352714
1073550848
1138576928
1220770194
1312312b17
149aa8360
1566ccc9d
hex4624c00

73550848 has 88 divisors (see below), whose sum is σ = 173978624. Its totient is φ = 30412800.

The previous prime is 73550839. The next prime is 73550861. The reversal of 73550848 is 84805537.

It is a self number, because there is not a number n which added to its sum of digits gives 73550848.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222043 + ... + 222373.

Almost surely, 273550848 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 73550848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86989312).

73550848 is an abundant number, since it is smaller than the sum of its proper divisors (100427776).

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

73550848 is a wasteful number, since it uses less digits than its factorization.

73550848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 73550848 is about 8576.1791026074. The cubic root of 73550848 is about 418.9825105719.

The spelling of 73550848 in words is "seventy-three million, five hundred fifty thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 331 434 448 496 512 662 868 896 992 1024 1324 1736 1792 1984 2317 2648 3472 3584 3968 4634 5296 6944 7168 7936 9268 10261 10592 13888 15872 18536 20522 21184 27776 31744 37072 41044 42368 55552 71827 74144 82088 84736 111104 143654 148288 164176 169472 222208 287308 296576 328352 338944 574616 593152 656704 1149232 1186304 1313408 2298464 2372608 2626816 4596928 5253632 9193856 10507264 18387712 36775424 73550848