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247004028 = 2232191093313
BaseRepresentation
bin11101011100011…
…11101101111100
3122012210002211100
432232033231330
51001213112103
640302053100
76056333235
oct1656175574
9565702740
10247004028
11117477867
126a87a190
133c233b3b
1424b3a08c
1516a415a3
hexeb8fb7c

247004028 has 72 divisors (see below), whose sum is σ = 663462800. Its totient is φ = 77262336.

The previous prime is 247004011. The next prime is 247004029. The reversal of 247004028 is 820400742.

247004028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2470040282 = 122021979696449568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247003992 and 247004010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247004029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72900 + ... + 76212.

Almost surely, 2247004028 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 247004028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331731400).

247004028 is an abundant number, since it is smaller than the sum of its proper divisors (416458772).

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

247004028 is a wasteful number, since it uses less digits than its factorization.

247004028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 247004028 is about 15716.3617927305. The cubic root of 247004028 is about 627.4339463706.

The spelling of 247004028 in words is "two hundred forty-seven million, four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 109 114 171 218 228 327 342 436 654 684 981 1308 1962 2071 3313 3924 4142 6213 6626 8284 9939 12426 13252 18639 19878 24852 29817 37278 39756 59634 62947 74556 119268 125894 188841 251788 361117 377682 566523 722234 755364 1083351 1133046 1444468 2166702 2266092 3250053 4333404 6500106 6861223 13000212 13722446 20583669 27444892 41167338 61751007 82334676 123502014 247004028