Search a number
-
+
74227712 = 213131741
BaseRepresentation
bin1000110110010…
…10000000000000
312011200011021112
410123022000000
5123000241322
611210542452
71560632216
oct433120000
9164604245
1074227712
1138999419
1220a37a28
13124bbc30
149c02cb6
1567b35e2
hex46ca000

74227712 has 112 divisors (see below), whose sum is σ = 173397672. Its totient is φ = 31457280.

The previous prime is 74227709. The next prime is 74227771. The reversal of 74227712 is 21772247.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41783296 + 32444416 = 6464^2 + 5696^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1810412 + ... + 1810452.

Almost surely, 274227712 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 74227712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86698836).

74227712 is an abundant number, since it is smaller than the sum of its proper divisors (99169960).

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

74227712 is a wasteful number, since it uses less digits than its factorization.

74227712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its digits is 10976, while the sum is 32.

The square root of 74227712 is about 8615.5505918078. The cubic root of 74227712 is about 420.2638402700.

Adding to 74227712 its reverse (21772247), we get a palindrome (95999959).

The spelling of 74227712 in words is "seventy-four million, two hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 41 52 64 68 82 104 128 136 164 208 221 256 272 328 416 442 512 533 544 656 697 832 884 1024 1066 1088 1312 1394 1664 1768 2048 2132 2176 2624 2788 3328 3536 4096 4264 4352 5248 5576 6656 7072 8192 8528 8704 9061 10496 11152 13312 14144 17056 17408 18122 20992 22304 26624 28288 34112 34816 36244 41984 44608 53248 56576 68224 69632 72488 83968 89216 106496 113152 136448 139264 144976 167936 178432 226304 272896 289952 335872 356864 452608 545792 579904 713728 905216 1091584 1159808 1427456 1810432 2183168 2319616 2854912 4366336 4639232 5709824 9278464 18556928 37113856 74227712