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60416768 = 282331331
BaseRepresentation
bin1110011001111…
…0001100000000
311012200111020002
43212132030000
5110431314033
65554535132
71332351116
oct346361400
9135614202
1060416768
1131116015
12182974a8
13c694889
148049ab6
1554863e8
hex399e300

60416768 has 72 divisors (see below), whose sum is σ = 130292736. Its totient is φ = 27878400.

The previous prime is 60416753. The next prime is 60416803. The reversal of 60416768 is 86761406.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182363 + ... + 182693.

Almost surely, 260416768 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 60416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65146368).

60416768 is an abundant number, since it is smaller than the sum of its proper divisors (69875968).

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

60416768 is a wasteful number, since it uses less digits than its factorization.

60416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 60416768 is about 7772.8223960155. The cubic root of 60416768 is about 392.3911131820.

The spelling of 60416768 in words is "sixty million, four hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 256 331 368 496 662 713 736 992 1324 1426 1472 1984 2648 2852 2944 3968 5296 5704 5888 7613 7936 10261 10592 11408 15226 20522 21184 22816 30452 41044 42368 45632 60904 82088 84736 91264 121808 164176 182528 236003 243616 328352 472006 487232 656704 944012 974464 1313408 1888024 1948928 2626816 3776048 7552096 15104192 30208384 60416768