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81503616 = 2731911171
BaseRepresentation
bin1001101101110…
…10010110000000
312200100210221110
410312322112000
5131331103431
612030523320
72006524605
oct466722600
9180323843
1081503616
1142008967
1223366540
1313b688bc
14ab786ac
15724e346
hex4dba580

81503616 has 64 divisors (see below), whose sum is σ = 227908800. Its totient is φ = 25735680.

The previous prime is 81503581. The next prime is 81503621. The reversal of 81503616 is 61630518.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1711 + ... + 12881.

It is an arithmetic number, because the mean of its divisors is an integer number (3561075).

Almost surely, 281503616 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 81503616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113954400).

81503616 is an abundant number, since it is smaller than the sum of its proper divisors (146405184).

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

81503616 is a wasteful number, since it uses less digits than its factorization.

81503616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11207 (or 11195 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 81503616 is about 9027.9353121298. The cubic root of 81503616 is about 433.5697350462.

The spelling of 81503616 in words is "eighty-one million, five hundred three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 11171 22342 33513 44684 67026 89368 134052 178736 212249 268104 357472 424498 536208 636747 714944 848996 1072416 1273494 1429888 1697992 2144832 2546988 3395984 4289664 5093976 6791968 10187952 13583936 20375904 27167872 40751808 81503616