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73736052 = 223132103353
BaseRepresentation
bin1000110010100…
…01111101110100
312010202011211220
410121101331310
5122334023202
611152230340
71553513625
oct431217564
9163664756
1073736052
1138692a95
122083b3b0
1312379200
149b15a4c
156717abc
hex4651f74

73736052 has 72 divisors (see below), whose sum is σ = 188645184. Its totient is φ = 22404096.

The previous prime is 73736029. The next prime is 73736053. The reversal of 73736052 is 25063737.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73736053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208708 + ... + 209060.

It is an arithmetic number, because the mean of its divisors is an integer number (2620072).

Almost surely, 273736052 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 73736052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94322592).

73736052 is an abundant number, since it is smaller than the sum of its proper divisors (114909132).

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

73736052 is a wasteful number, since it uses less digits than its factorization.

73736052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 73736052 is about 8586.9698963022. The cubic root of 73736052 is about 419.3338874264. Note that the first 3 decimals are identical.

Adding to 73736052 its reverse (25063737), we get a palindrome (98799789).

The spelling of 73736052 in words is "seventy-three million, seven hundred thirty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 169 206 309 338 353 412 507 618 676 706 1014 1059 1236 1339 1412 2028 2118 2678 4017 4236 4589 5356 8034 9178 13767 16068 17407 18356 27534 34814 36359 52221 55068 59657 69628 72718 104442 109077 119314 145436 178971 208884 218154 238628 357942 436308 472667 715884 945334 1418001 1890668 2836002 5672004 6144671 12289342 18434013 24578684 36868026 73736052