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73108152 = 233213372111
BaseRepresentation
bin1000101101110…
…00101010111000
312002120021112100
410112320222320
5122203430102
611130543400
71545260205
oct426705270
9162507470
1073108152
11382a4267
1220597b60
13121b9480
1499d0cac
156641a1c
hex45b8ab8

73108152 has 96 divisors (see below), whose sum is σ = 219098880. Its totient is φ = 21876480.

The previous prime is 73108151. The next prime is 73108157. The reversal of 73108152 is 25180137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73108151) 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 23 ways as a sum of consecutive naturals, for example, 33577 + ... + 35687.

It is an arithmetic number, because the mean of its divisors is an integer number (2282280).

Almost surely, 273108152 is an apocalyptic number.

73108152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73108152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109549440).

73108152 is an abundant number, since it is smaller than the sum of its proper divisors (145990728).

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

73108152 is a wasteful number, since it uses less digits than its factorization.

73108152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 73108152 is about 8550.3305199273. The cubic root of 73108152 is about 418.1402122667.

Adding to 73108152 its reverse (25180137), we get a palindrome (98288289).

The spelling of 73108152 in words is "seventy-three million, one hundred eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 666 888 936 962 1332 1443 1924 2111 2664 2886 3848 4222 4329 5772 6333 8444 8658 11544 12666 16888 17316 18999 25332 27443 34632 37998 50664 54886 75996 78107 82329 109772 151992 156214 164658 219544 234321 246987 312428 329316 468642 493974 624856 658632 702963 937284 987948 1015391 1405926 1874568 1975896 2030782 2811852 3046173 4061564 5623704 6092346 8123128 9138519 12184692 18277038 24369384 36554076 73108152