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661191488 = 26192347503
BaseRepresentation
bin100111011010001…
…111101101000000
31201002011000012122
4213122033231000
52323231111423
6145335343412
722246014656
oct4732175500
91632130178
10661191488
1130a252a51
12165521b68
13a6ca1c89
1463b54dd6
153d0a88c8
hex2768fb40

661191488 has 112 divisors (see below), whose sum is σ = 1474744320. Its totient is φ = 292621824.

The previous prime is 661191451. The next prime is 661191533. The reversal of 661191488 is 884191166.

661191488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1314245 + ... + 1314747.

It is an arithmetic number, because the mean of its divisors is an integer number (13167360).

Almost surely, 2661191488 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 661191488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

661191488 is an abundant number, since it is smaller than the sum of its proper divisors (813552832).

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

661191488 is a wasteful number, since it uses less digits than its factorization.

661191488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its digits is 82944, while the sum is 44.

The square root of 661191488 is about 25713.6440046914. The cubic root of 661191488 is about 871.1823831808.

The spelling of 661191488 in words is "six hundred sixty-one million, one hundred ninety-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 47 64 76 92 94 152 184 188 304 368 376 437 503 608 736 752 874 893 1006 1081 1216 1472 1504 1748 1786 2012 2162 3008 3496 3572 4024 4324 6992 7144 8048 8648 9557 11569 13984 14288 16096 17296 19114 20539 23138 23641 27968 28576 32192 34592 38228 41078 46276 47282 57152 69184 76456 82156 92552 94564 152912 164312 185104 189128 219811 305824 328624 370208 378256 439622 449179 543743 611648 657248 740416 756512 879244 898358 1087486 1314496 1513024 1758488 1796716 2174972 3516976 3593432 4349944 7033952 7186864 8699888 10331117 14067904 14373728 17399776 20662234 28747456 34799552 41324468 82648936 165297872 330595744 661191488