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78250272 = 2533672221
BaseRepresentation
bin1001010101000…
…00000100100000
312110020112012020
410222200010200
5130013002042
611433101440
71640054622
oct452400440
9173215166
1078250272
1140196651
1222257880
1313299b49
14a56cc12
156d0a3ec
hex4aa0120

78250272 has 48 divisors (see below), whose sum is σ = 206059392. Its totient is φ = 26000640.

The previous prime is 78250261. The next prime is 78250279. The reversal of 78250272 is 27205287.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×782502722 = 12246210136147968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78250279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34122 + ... + 36342.

It is an arithmetic number, because the mean of its divisors is an integer number (4292904).

Almost surely, 278250272 is an apocalyptic number.

It is an amenable number.

78250272 is an abundant number, since it is smaller than the sum of its proper divisors (127809120).

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

78250272 is a wasteful number, since it uses less digits than its factorization.

78250272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 78250272 is about 8845.9183808127. The cubic root of 78250272 is about 427.7223575637.

The spelling of 78250272 in words is "seventy-eight million, two hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 367 734 1101 1468 2202 2221 2936 4404 4442 5872 6663 8808 8884 11744 13326 17616 17768 26652 35232 35536 53304 71072 106608 213216 815107 1630214 2445321 3260428 4890642 6520856 9781284 13041712 19562568 26083424 39125136 78250272