Search a number
-
+
869551648 = 2573227349
BaseRepresentation
bin110011110101000…
…100111000100000
32020121012210121121
4303311010320200
53240101123043
6222141302024
730356032000
oct6365047040
92217183547
10869551648
11406926029
12203264914
1310b1c5604
14836b2000
1551514ded
hex33d44e20

869551648 has 96 divisors (see below), whose sum is σ = 2010960000. Its totient is φ = 369960192.

The previous prime is 869551621. The next prime is 869551651. The reversal of 869551648 is 846155968.

It is a super-2 number, since 2×8695516482 = 1512240137079031808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 869551595 and 869551604.

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, 2491378 + ... + 2491726.

It is an arithmetic number, because the mean of its divisors is an integer number (20947500).

Almost surely, 2869551648 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 869551648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480000).

869551648 is an abundant number, since it is smaller than the sum of its proper divisors (1141408352).

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

869551648 is a wasteful number, since it uses less digits than its factorization.

869551648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 585 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 52.

The square root of 869551648 is about 29488.1611498581. The cubic root of 869551648 is about 954.4762523838.

The spelling of 869551648 in words is "eight hundred sixty-nine million, five hundred fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 227 343 349 392 454 686 698 784 908 1372 1396 1568 1589 1816 2443 2744 2792 3178 3632 4886 5488 5584 6356 7264 9772 10976 11123 11168 12712 17101 19544 22246 25424 34202 39088 44492 50848 68404 77861 78176 79223 88984 119707 136808 155722 158446 177968 239414 273616 311444 316892 355936 478828 547232 554561 622888 633784 957656 1109122 1245776 1267568 1915312 2218244 2491552 2535136 3830624 3881927 4436488 7763854 8872976 15527708 17745952 27173489 31055416 54346978 62110832 108693956 124221664 217387912 434775824 869551648