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78030528 = 263478647
BaseRepresentation
bin1001010011010…
…10011011000000
312102211100202120
410221222123000
5124433434103
611424244240
71635151152
oct451523300
9172740676
1078030528
1140056544
1222170680
1313220b14
14a512ad2
156cb5253
hex4a6a6c0

78030528 has 56 divisors (see below), whose sum is σ = 210872832. Its totient is φ = 25453824.

The previous prime is 78030523. The next prime is 78030539. The reversal of 78030528 is 82503087.

It is not an unprimeable number, because it can be changed into a prime (78030523) by changing a digit.

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, 4701 + ... + 13347.

Almost surely, 278030528 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 78030528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105436416).

78030528 is an abundant number, since it is smaller than the sum of its proper divisors (132842304).

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

78030528 is a wasteful number, since it uses less digits than its factorization.

78030528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8709 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 78030528 is about 8833.4890049176. The cubic root of 78030528 is about 427.3216026617.

The spelling of 78030528 in words is "seventy-eight million, thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 8647 9024 17294 25941 34588 51882 69176 103764 138352 207528 276704 406409 415056 553408 812818 830112 1219227 1625636 1660224 2438454 3251272 4876908 6502544 9753816 13005088 19507632 26010176 39015264 78030528