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36481914 = 234753607
BaseRepresentation
bin1000101100101…
…0101101111010
32112122110210000
42023022231322
533314410124
63341533430
7622043160
oct213125572
975573700
1036481914
1119658447
1210274276
137734441
144bb9230
1533096c9
hex22cab7a

36481914 has 80 divisors (see below), whose sum is σ = 95344128. Its totient is φ = 10209888.

The previous prime is 36481897. The next prime is 36481943. The reversal of 36481914 is 41918463.

36481914 is a `hidden beast` number, since 3 + 648 + 1 + 9 + 1 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59799 + ... + 60405.

Almost surely, 236481914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36481914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47672064).

36481914 is an abundant number, since it is smaller than the sum of its proper divisors (58862214).

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

36481914 is a wasteful number, since it uses less digits than its factorization.

36481914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 672 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 36481914 is about 6040.0259933216. The cubic root of 36481914 is about 331.6595738770.

The spelling of 36481914 in words is "thirty-six million, four hundred eighty-one thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 81 106 126 159 162 189 318 371 378 477 567 607 742 954 1113 1134 1214 1431 1821 2226 2862 3339 3642 4249 4293 5463 6678 8498 8586 10017 10926 12747 16389 20034 25494 30051 32171 32778 38241 49167 60102 64342 76482 96513 98334 114723 193026 225197 229446 289539 344169 450394 579078 675591 688338 868617 1351182 1737234 2026773 2605851 4053546 5211702 6080319 12160638 18240957 36481914