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8038485 = 3257132151
BaseRepresentation
bin11110101010100001010101
3120010101201200
4132222201111
54024212420
6444143113
7125216550
oct36524125
916111650
108038485
1145a0484
122837a99
131885b00
1410d3697
15a8bb90
hex7aa855

8038485 has 72 divisors (see below), whose sum is σ = 17357184. Its totient is φ = 3369600.

The previous prime is 8038483. The next prime is 8038507. The reversal of 8038485 is 5848308.

8038485 = T374 + T375 + ... + T464.

It is not a de Polignac number, because 8038485 - 21 = 8038483 is a prime.

It is a Curzon number.

8038485 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8038483) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53160 + ... + 53310.

It is an arithmetic number, because the mean of its divisors is an integer number (241072).

Almost surely, 28038485 is an apocalyptic number.

It is an amenable number.

8038485 is an abundant number, since it is smaller than the sum of its proper divisors (9318699).

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

8038485 is a wasteful number, since it uses less digits than its factorization.

8038485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8038485 is about 2835.2222135134. Note that the first 4 decimals coincide. The cubic root of 8038485 is about 200.3201954342.

The spelling of 8038485 in words is "eight million, thirty-eight thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 151 169 195 273 315 453 455 507 585 755 819 845 1057 1183 1359 1365 1521 1963 2265 2535 3171 3549 4095 5285 5889 5915 6795 7605 9513 9815 10647 13741 15855 17667 17745 25519 29445 41223 47565 53235 68705 76557 88335 123669 127595 178633 206115 229671 382785 535899 618345 893165 1148355 1607697 2679495 8038485