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61679376 = 243211231693
BaseRepresentation
bin1110101101001…
…0011100010000
311022001122012100
43223102130100
5111242220001
610042000400
71346160153
oct353223420
9138048170
1061679376
11318a86a0
12187a6100
13ca17495
148297c9a
155635586
hex3ad2710

61679376 has 120 divisors (see below), whose sum is σ = 196612416. Its totient is φ = 17867520.

The previous prime is 61679323. The next prime is 61679389. The reversal of 61679376 is 67397616.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35586 + ... + 37278.

Almost surely, 261679376 is an apocalyptic number.

61679376 is a gapful number since it is divisible by the number (66) 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 61679376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98306208).

61679376 is an abundant number, since it is smaller than the sum of its proper divisors (134933040).

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

61679376 is a wasteful number, since it uses less digits than its factorization.

61679376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1732 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 61679376 is about 7853.6218396355. The cubic root of 61679376 is about 395.1057261184.

The spelling of 61679376 in words is "sixty-one million, six hundred seventy-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 1693 2024 2277 3036 3312 3386 4048 4554 5079 6072 6772 9108 10158 12144 13544 15237 18216 18623 20316 27088 30474 36432 37246 38939 40632 55869 60948 74492 77878 81264 111738 116817 121896 148984 155756 167607 223476 233634 243792 297968 311512 335214 350451 428329 446952 467268 623024 670428 700902 856658 893904 934536 1284987 1340856 1401804 1713316 1869072 2569974 2681712 2803608 3426632 3854961 5139948 5607216 6853264 7709922 10279896 15419844 20559792 30839688 61679376