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61683804 = 223271319991
BaseRepresentation
bin1110101101001…
…1100001011100
311022001212021100
43223103201130
5111242340204
610042033100
71346206110
oct353234134
9138055240
1061683804
1131900a56
12187a8790
13ca194c0
148299740
155636a39
hex3ad385c

61683804 has 144 divisors (see below), whose sum is σ = 202209280. Its totient is φ = 15396480.

The previous prime is 61683799. The next prime is 61683821. The reversal of 61683804 is 40838616.

It is a happy number.

61683804 is a `hidden beast` number, since 616 + 8 + 38 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61749 + ... + 62739.

Almost surely, 261683804 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 61683804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101104640).

61683804 is an abundant number, since it is smaller than the sum of its proper divisors (140525476).

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

61683804 is a wasteful number, since it uses less digits than its factorization.

61683804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 61683804 is about 7853.9037427257. The cubic root of 61683804 is about 395.1151808525.

It can be divided in two parts, 61 and 683804, that added together give a triangular number (683865 = T1169).

The spelling of 61683804 in words is "sixty-one million, six hundred eighty-three thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 991 1092 1197 1482 1596 1638 1729 1982 2223 2394 2964 2973 3276 3458 3964 4446 4788 5187 5946 6916 6937 8892 8919 10374 11892 12883 13874 15561 17838 18829 20748 20811 25766 27748 31122 35676 37658 38649 41622 51532 56487 62244 62433 75316 77298 83244 90181 112974 115947 124866 131803 154596 169461 180362 225948 231894 244777 249732 263606 270543 338922 360724 395409 463788 489554 527212 541086 677844 734331 790818 811629 979108 1082172 1186227 1468662 1581636 1623258 1713439 2202993 2372454 2937324 3246516 3426878 4405986 4744908 5140317 6853756 8811972 10280634 15420951 20561268 30841902 61683804