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61716816 = 243476803
BaseRepresentation
bin1110101101101…
…1100101010000
311022010112120000
43223123211100
5111244414231
610042450000
71346404260
oct353334520
9138115500
1061716816
1131923837
1218803900
13ca2b535
1482a77a0
1556416e6
hex3adb950

61716816 has 100 divisors (see below), whose sum is σ = 204174432. Its totient is φ = 17630784.

The previous prime is 61716799. The next prime is 61716827. The reversal of 61716816 is 61861716.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5671 + ... + 12473.

Almost surely, 261716816 is an apocalyptic number.

61716816 is the 4536-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61716816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102087216).

61716816 is an abundant number, since it is smaller than the sum of its proper divisors (142457616).

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

61716816 is a wasteful number, since it uses less digits than its factorization.

61716816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 6815 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 61716816 is about 7856.0050916480. The cubic root of 61716816 is about 395.1856543280.

The spelling of 61716816 in words is "sixty-one million, seven hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 6803 9072 13606 20409 27212 40818 47621 54424 61227 81636 95242 108848 122454 142863 163272 183681 190484 244908 285726 326544 367362 380968 428589 489816 551043 571452 734724 761936 857178 979632 1102086 1142904 1285767 1469448 1714356 2204172 2285808 2571534 2938896 3428712 3857301 4408344 5143068 6857424 7714602 8816688 10286136 15429204 20572272 30858408 61716816