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661679872 = 2873143277
BaseRepresentation
bin100111011100000…
…110111100000000
31201010001211010221
4213130012330000
52323342223442
6145354032424
722253120560
oct4734067400
91633054127
10661679872
1130a556977
12165718714
13a7113369
1463c40da0
153d153467
hex27706f00

661679872 has 144 divisors (see below), whose sum is σ = 1600141312. Its totient is φ = 267079680.

The previous prime is 661679869. The next prime is 661679881. The reversal of 661679872 is 278976166.

It is a happy number.

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, 2388598 + ... + 2388874.

Almost surely, 2661679872 is an apocalyptic number.

661679872 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800070656).

661679872 is an abundant number, since it is smaller than the sum of its proper divisors (938461440).

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

661679872 is a wasteful number, since it uses less digits than its factorization.

661679872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 52.

The square root of 661679872 is about 25723.1388442391. The cubic root of 661679872 is about 871.3968277760.

The spelling of 661679872 in words is "six hundred sixty-one million, six hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 43 56 62 64 86 112 124 128 172 217 224 248 256 277 301 344 434 448 496 554 602 688 868 896 992 1108 1204 1333 1376 1736 1792 1939 1984 2216 2408 2666 2752 3472 3878 3968 4432 4816 5332 5504 6944 7756 7936 8587 8864 9331 9632 10664 11008 11911 13888 15512 17174 17728 18662 19264 21328 23822 27776 31024 34348 35456 37324 38528 42656 47644 55552 60109 62048 68696 70912 74648 77056 83377 85312 95288 120218 124096 137392 149296 166754 170624 190576 240436 248192 274784 298592 333508 341248 369241 381152 480872 496384 549568 597184 667016 738482 762304 961744 1099136 1194368 1334032 1476964 1524608 1923488 2198272 2388736 2584687 2668064 2953928 3049216 3846976 5169374 5336128 5907856 7693952 10338748 10672256 11815712 15387904 20677496 21344512 23631424 41354992 47262848 82709984 94525696 165419968 330839936 661679872