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73928064 = 273723929
BaseRepresentation
bin1000110100000…
…00110110000000
312011002221020110
410122000312000
5122411144224
611200311320
71555243500
oct432006600
9164087213
1073928064
1138804281
1220912540
1312415722
149b65a00
156754929
hex4680d80

73928064 has 96 divisors (see below), whose sum is σ = 228490200. Its totient is φ = 21116928.

The previous prime is 73928059. The next prime is 73928081. The reversal of 73928064 is 46082937.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16852 + ... + 20780.

Almost surely, 273928064 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 73928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114245100).

73928064 is an abundant number, since it is smaller than the sum of its proper divisors (154562136).

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

73928064 is a wasteful number, since it uses less digits than its factorization.

73928064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 73928064 is about 8598.1430553347. The cubic root of 73928064 is about 419.6975600445.

The spelling of 73928064 in words is "seventy-three million, nine hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 3929 4704 6272 7858 9408 11787 15716 18816 23574 27503 31432 47148 55006 62864 82509 94296 110012 125728 165018 188592 192521 220024 251456 330036 377184 385042 440048 502912 577563 660072 754368 770084 880096 1155126 1320144 1508736 1540168 1760192 2310252 2640288 3080336 3520384 4620504 5280576 6160672 9241008 10561152 12321344 18482016 24642688 36964032 73928064