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77028012 = 223223412269
BaseRepresentation
bin1001001011101…
…01101010101100
312100221102120100
410211311222230
5124204344022
611350551100
71623504315
oct445655254
9170842510
1077028012
113a531316
1221968490
1312c5c709
14a33160c
156b681ac
hex4975aac

77028012 has 72 divisors (see below), whose sum is σ = 208222560. Its totient is φ = 23950080.

The previous prime is 77027999. The next prime is 77028013. The reversal of 77028012 is 21082077.

It is not an unprimeable number, because it can be changed into a prime (77028013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32814 + ... + 35082.

It is an arithmetic number, because the mean of its divisors is an integer number (2891980).

Almost surely, 277028012 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 77028012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104111280).

77028012 is an abundant number, since it is smaller than the sum of its proper divisors (131194548).

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

77028012 is a wasteful number, since it uses less digits than its factorization.

77028012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 77028012 is about 8776.5603740873. The cubic root of 77028012 is about 425.4836698828.

It can be divided in two parts, 770 and 28012, that added together give a palindrome (28782).

The spelling of 77028012 in words is "seventy-seven million, twenty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 738 828 943 1476 1886 2269 2829 3772 4538 5658 6807 8487 9076 11316 13614 16974 20421 27228 33948 40842 52187 81684 93029 104374 156561 186058 208748 279087 313122 372116 469683 558174 626244 837261 939366 1116348 1674522 1878732 2139667 3349044 4279334 6419001 8558668 12838002 19257003 25676004 38514006 77028012