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74772256 = 25131797109
BaseRepresentation
bin1000111010011…
…10111100100000
312012200211020211
410131032330200
5123120203011
611230343504
71565360626
oct435167440
9165624224
1074772256
1139230559
122105ab94
131264ca50
149d05516
15686eb21
hex474ef20

74772256 has 96 divisors (see below), whose sum is σ = 171143280. Its totient is φ = 31850496.

The previous prime is 74772251. The next prime is 74772289. The reversal of 74772256 is 65227747.

It can be written as a sum of positive squares in 8 ways, for example, as 39488656 + 35283600 = 6284^2 + 5940^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (74772251) 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 15 ways as a sum of consecutive naturals, for example, 685930 + ... + 686038.

Almost surely, 274772256 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 74772256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85571640).

74772256 is an abundant number, since it is smaller than the sum of its proper divisors (96371024).

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

74772256 is a wasteful number, since it uses less digits than its factorization.

74772256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its digits is 164640, while the sum is 40.

The square root of 74772256 is about 8647.0952348173. The cubic root of 74772256 is about 421.2890404577.

The spelling of 74772256 in words is "seventy-four million, seven hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 97 104 109 136 194 208 218 221 272 388 416 436 442 544 776 872 884 1261 1417 1552 1649 1744 1768 1853 2522 2834 3104 3298 3488 3536 3706 5044 5668 6596 7072 7412 10088 10573 11336 13192 14824 20176 21146 21437 22672 24089 26384 29648 40352 42292 42874 45344 48178 52768 59296 84584 85748 96356 137449 169168 171496 179741 192712 274898 338336 342992 359482 385424 549796 685984 718964 770848 1099592 1437928 2199184 2336633 2875856 4398368 4673266 5751712 9346532 18693064 37386128 74772256