Search a number
-
+
850743664 = 243137151307
BaseRepresentation
bin110010101101010…
…101000101110000
32012021211020220121
4302231111011300
53220242244124
6220230220024
730040126141
oct6255250560
92167736817
10850743664
113a724a341
121b8ab4614
1310733b924
1480db7ac8
154ea4c2e4
hex32b55170

850743664 has 80 divisors (see below), whose sum is σ = 1764775936. Its totient is φ = 396576000.

The previous prime is 850743643. The next prime is 850743671. The reversal of 850743664 is 466347058.

It is a super-2 number, since 2×8507436642 = 1447529563672289792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 850743664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2770999 + ... + 2771305.

Almost surely, 2850743664 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 850743664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882387968).

850743664 is an abundant number, since it is smaller than the sum of its proper divisors (914032272).

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

850743664 is a wasteful number, since it uses less digits than its factorization.

850743664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The square root of 850743664 is about 29167.5104182719. The cubic root of 850743664 is about 947.5444112822.

The spelling of 850743664 in words is "eight hundred fifty million, seven hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 151 248 296 302 307 496 592 604 614 1147 1208 1228 2294 2416 2456 4588 4681 4912 5587 9176 9362 9517 11174 11359 18352 18724 19034 22348 22718 37448 38068 44696 45436 46357 74896 76136 89392 90872 92714 152272 173197 181744 185428 346394 352129 370856 692788 704258 741712 1385576 1408516 1437067 1715209 2771152 2817032 2874134 3430418 5634064 5748268 6860836 11496536 13721672 22993072 27443344 53171479 106342958 212685916 425371832 850743664