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73245456 = 24321921409
BaseRepresentation
bin1000101110110…
…10001100010000
312002211020212200
410113122030100
5122222323311
611133523200
71546401414
oct427321420
9162736780
1073245456
1138388439
1220643500
1312236b0b
149a28d44
15666c556
hex45da310

73245456 has 90 divisors (see below), whose sum is σ = 216495630. Its totient is φ = 23113728.

The previous prime is 73245439. The next prime is 73245461. The reversal of 73245456 is 65454237.

It can be written as a sum of positive squares in only one way, i.e., 40755456 + 32490000 = 6384^2 + 5700^2 .

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 73245456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51280 + ... + 52688.

It is an arithmetic number, because the mean of its divisors is an integer number (2405507).

Almost surely, 273245456 is an apocalyptic number.

73245456 is a gapful number since it is divisible by the number (76) 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 73245456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108247815).

73245456 is an abundant number, since it is smaller than the sum of its proper divisors (143250174).

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

73245456 is a wasteful number, since it uses less digits than its factorization.

73245456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1433 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 73245456 is about 8558.3559168803. The cubic root of 73245456 is about 418.4018174715.

The spelling of 73245456 in words is "seventy-three million, two hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1409 1444 2166 2736 2818 2888 3249 4227 4332 5636 5776 6498 8454 8664 11272 12681 12996 16908 17328 22544 25362 25992 26771 33816 50724 51984 53542 67632 80313 101448 107084 160626 202896 214168 240939 321252 428336 481878 508649 642504 963756 1017298 1285008 1525947 1927512 2034596 3051894 3855024 4069192 4577841 6103788 8138384 9155682 12207576 18311364 24415152 36622728 73245456