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73195056 = 24331173211
BaseRepresentation
bin1000101110011…
…01111000110000
312002201200202000
410113031320300
5122214220211
611132454000
71546101444
oct427157060
9162650660
1073195056
1138353590
122061a300
1312219bac
149a14824
15665c656
hex45cde30

73195056 has 160 divisors (see below), whose sum is σ = 233437440. Its totient is φ = 21772800.

The previous prime is 73195007. The next prime is 73195063. The reversal of 73195056 is 65059137.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 73195056.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 346791 + ... + 347001.

It is an arithmetic number, because the mean of its divisors is an integer number (1458984).

Almost surely, 273195056 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 73195056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116718720).

73195056 is an abundant number, since it is smaller than the sum of its proper divisors (160242384).

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

73195056 is a wasteful number, since it uses less digits than its factorization.

73195056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 73195056 is about 8555.4109194123. The cubic root of 73195056 is about 418.3058283989.

The spelling of 73195056 in words is "seventy-three million, one hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 73 88 99 108 132 144 146 176 198 211 216 219 264 292 297 396 422 432 438 528 584 594 633 657 792 803 844 876 1168 1188 1266 1314 1584 1606 1688 1752 1899 1971 2321 2376 2409 2532 2628 3212 3376 3504 3798 3942 4642 4752 4818 5064 5256 5697 6424 6963 7227 7596 7884 9284 9636 10128 10512 11394 12848 13926 14454 15192 15403 15768 18568 19272 20889 21681 22788 27852 28908 30384 30806 31536 37136 38544 41778 43362 45576 46209 55704 57816 61612 62667 83556 86724 91152 92418 111408 115632 123224 125334 138627 167112 169433 173448 184836 246448 250668 277254 334224 338866 346896 369672 415881 501336 508299 554508 677732 739344 831762 1002672 1016598 1109016 1355464 1524897 1663524 2033196 2218032 2710928 3049794 3327048 4066392 4574691 6099588 6654096 8132784 9149382 12199176 18298764 24398352 36597528 73195056