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73682048 = 2711431217
BaseRepresentation
bin1000110010001…
…00110010000000
312010122102202202
410121010302000
5122330311143
611151132332
71553200316
oct431046200
9163572682
1073682048
1138656460
12208140a8
131235a75b
149b000b6
156706ab8
hex4644c80

73682048 has 64 divisors (see below), whose sum is σ = 163991520. Its totient is φ = 32686080.

The previous prime is 73682003. The next prime is 73682051. The reversal of 73682048 is 84028637.

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

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, 59936 + ... + 61152.

Almost surely, 273682048 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 73682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81995760).

73682048 is an abundant number, since it is smaller than the sum of its proper divisors (90309472).

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

73682048 is a wasteful number, since it uses less digits than its factorization.

73682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 73682048 is about 8583.8247885194. The cubic root of 73682048 is about 419.2314895833.

The spelling of 73682048 in words is "seventy-three million, six hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 344 352 473 688 704 946 1217 1376 1408 1892 2434 2752 3784 4868 5504 7568 9736 13387 15136 19472 26774 30272 38944 52331 53548 60544 77888 104662 107096 155776 209324 214192 418648 428384 575641 837296 856768 1151282 1674592 1713536 2302564 3349184 4605128 6698368 9210256 18420512 36841024 73682048