Search a number
-
+
1122577248 = 253138811021
BaseRepresentation
bin100001011101001…
…0010101101100000
32220020022211111010
41002322102231200
54244334432443
6303220420520
736550514652
oct10272225540
92806284433
101122577248
115267359a1
12273b47740
1314b7571c0
14a91386d2
1568845733
hex42e92b60

1122577248 has 96 divisors (see below), whose sum is σ = 3180153312. Its totient is φ = 344678400.

The previous prime is 1122577231. The next prime is 1122577273. The reversal of 1122577248 is 8427752211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1098978 + ... + 1099998.

It is an arithmetic number, because the mean of its divisors is an integer number (33126597).

Almost surely, 21122577248 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 1122577248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590076656).

1122577248 is an abundant number, since it is smaller than the sum of its proper divisors (2057576064).

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

1122577248 is a wasteful number, since it uses less digits than its factorization.

1122577248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1920 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 1122577248 is about 33504.8839424941. The cubic root of 1122577248 is about 1039.2947783091.

The spelling of 1122577248 in words is "one billion, one hundred twenty-two million, five hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 881 1021 1248 1762 2042 2643 3063 3524 4084 5286 6126 7048 8168 10572 11453 12252 13273 14096 16336 21144 22906 24504 26546 28192 32672 34359 39819 42288 45812 49008 53092 68718 79638 84576 91624 98016 106184 137436 159276 183248 212368 274872 318552 366496 424736 549744 637104 899501 1099488 1274208 1799002 2698503 3598004 5397006 7196008 10794012 11693513 14392016 21588024 23387026 28784032 35080539 43176048 46774052 70161078 86352096 93548104 140322156 187096208 280644312 374192416 561288624 1122577248