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78039040 = 21157621
BaseRepresentation
bin1001010011011…
…00100000000000
312102211210102211
410221230200000
5124434222130
611424351504
71635215032
oct451544000
9172753384
1078039040
1140061982
1222175594
1313224961
14a515c52
156cb7a2a
hex4a6c800

78039040 has 48 divisors (see below), whose sum is σ = 187272540. Its totient is φ = 31211520.

The previous prime is 78039037. The next prime is 78039041. The reversal of 78039040 is 4093087.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76317696 + 1721344 = 8736^2 + 1312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 78038993 and 78039011.

It is not an unprimeable number, because it can be changed into a prime (78039041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6430 + ... + 14050.

Almost surely, 278039040 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 78039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93636270).

78039040 is an abundant number, since it is smaller than the sum of its proper divisors (109233500).

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

78039040 is an equidigital number, since it uses as much as digits as its factorization.

78039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 78039040 is about 8833.9707946087. The cubic root of 78039040 is about 427.3371402952.

The spelling of 78039040 in words is "seventy-eight million, thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 7621 10240 15242 30484 38105 60968 76210 121936 152420 243872 304840 487744 609680 975488 1219360 1950976 2438720 3901952 4877440 7803904 9754880 15607808 19509760 39019520 78039040