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78376452 = 223711271313
BaseRepresentation
bin1001010101111…
…10111000000100
312110110221021120
410222332320010
5130031021302
611435513540
71641121530
oct452767004
9173427246
1078376452
1140272430
12222b88b0
13133123cb
14a5a2bc0
156d329bc
hex4abee04

78376452 has 96 divisors (see below), whose sum is σ = 229576704. Its totient is φ = 20217600.

The previous prime is 78376421. The next prime is 78376457. The reversal of 78376452 is 25467387.

It is a super-2 number, since 2×783764522 = 12285736456216608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (78376457) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 250248 + ... + 250560.

It is an arithmetic number, because the mean of its divisors is an integer number (2391424).

Almost surely, 278376452 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 78376452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114788352).

78376452 is an abundant number, since it is smaller than the sum of its proper divisors (151200252).

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

78376452 is a wasteful number, since it uses less digits than its factorization.

78376452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 607 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 78376452 is about 8853.0476108513. The cubic root of 78376452 is about 427.9521374842.

The spelling of 78376452 in words is "seventy-eight million, three hundred seventy-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 271 308 313 462 542 626 813 924 939 1084 1252 1626 1878 1897 2191 2981 3252 3443 3756 3794 4382 5691 5962 6573 6886 7588 8764 8943 10329 11382 11924 13146 13772 17886 20658 20867 22764 24101 26292 35772 41316 41734 48202 62601 72303 83468 84823 96404 125202 144606 169646 250404 254469 289212 339292 508938 593761 933053 1017876 1187522 1781283 1866106 2375044 2799159 3562566 3732212 5598318 6531371 7125132 11196636 13062742 19594113 26125484 39188226 78376452