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75424096 = 251147297
BaseRepresentation
bin1000111111011…
…10000101100000
312020220221102001
410133232011200
5123302032341
611252333344
71604044216
oct437560540
9166827361
1075424096
1139636270
1221314254
131281a657
14a034cb6
15694cd31
hex47ee160

75424096 has 72 divisors (see below), whose sum is σ = 167216616. Its totient is φ = 33208320.

The previous prime is 75424057. The next prime is 75424109. The reversal of 75424096 is 69042457.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 777520 + ... + 777616.

It is an arithmetic number, because the mean of its divisors is an integer number (2322453).

Almost surely, 275424096 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 75424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83608308).

75424096 is an abundant number, since it is smaller than the sum of its proper divisors (91792520).

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

75424096 is a wasteful number, since it uses less digits than its factorization.

75424096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 75424096 is about 8684.7047157632. The cubic root of 75424096 is about 422.5097200243.

The spelling of 75424096 in words is "seventy-five million, four hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 97 176 188 194 352 376 388 517 752 776 1034 1067 1504 1552 2068 2134 2209 3104 4136 4268 4418 4559 8272 8536 8836 9118 16544 17072 17672 18236 24299 34144 35344 36472 48598 50149 70688 72944 97196 100298 145888 194392 200596 214273 388784 401192 428546 777568 802384 857092 1604768 1714184 2357003 3428368 4714006 6856736 9428012 18856024 37712048 75424096