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73936896 = 212311547
BaseRepresentation
bin1000110100000…
…11000000000000
312011010101100120
410122003000000
5122411440041
611200420240
71555311315
oct432030000
9164111316
1073936896
113880a980
1220917680
1312419757
149b68d0c
156757366
hex4683000

73936896 has 104 divisors (see below), whose sum is σ = 215456064. Its totient is φ = 22364160.

The previous prime is 73936879. The next prime is 73936897. The reversal of 73936896 is 69863937.

It is a happy number.

It is a super-2 number, since 2×739368962 = 10933329180229632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73936897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134895 + ... + 135441.

Almost surely, 273936896 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 73936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107728032).

73936896 is an abundant number, since it is smaller than the sum of its proper divisors (141519168).

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

73936896 is a wasteful number, since it uses less digits than its factorization.

73936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 563 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 73936896 is about 8598.6566392664. The cubic root of 73936896 is about 419.7142727832.

The spelling of 73936896 in words is "seventy-three million, nine hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 547 704 768 1024 1056 1094 1408 1536 1641 2048 2112 2188 2816 3072 3282 4096 4224 4376 5632 6017 6144 6564 8448 8752 11264 12034 12288 13128 16896 17504 18051 22528 24068 26256 33792 35008 36102 45056 48136 52512 67584 70016 72204 96272 105024 135168 140032 144408 192544 210048 280064 288816 385088 420096 560128 577632 770176 840192 1120256 1155264 1540352 1680384 2240512 2310528 3080704 3360768 4621056 6161408 6721536 9242112 12322816 18484224 24645632 36968448 73936896