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4258663040 = 27519350219
BaseRepresentation
bin1111110111010110…
…0000101010000000
3101222210102111102202
43331311200222000
532210204204130
61542325532332
7210351016142
oct37565405200
911883374382
104258663040
1118959a4635
129aa2740a8
1352b3a8278
142c5846c92
1519dd1b145
hexfdd60a80

4258663040 has 64 divisors (see below), whose sum is σ = 10716732000. Its totient is φ = 1613804544.

The previous prime is 4258662973. The next prime is 4258663043. The reversal of 4258663040 is 403668524.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 4258662985 and 4258663003.

It is not an unprimeable number, because it can be changed into a prime (4258663043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162950 + ... + 187269.

Almost surely, 24258663040 is an apocalyptic number.

4258663040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4258663040 is an abundant number, since it is smaller than the sum of its proper divisors (6458068960).

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

4258663040 is a wasteful number, since it uses less digits than its factorization.

4258663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350257 (or 350245 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 4258663040 is about 65258.4327117960. The cubic root of 4258663040 is about 1620.9057374772.

The spelling of 4258663040 in words is "four billion, two hundred fifty-eight million, six hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 350219 700438 1400876 1751095 2801752 3502190 5603504 6654161 7004380 11207008 13308322 14008760 22414016 26616644 28017520 33270805 44828032 53233288 56035040 66541610 106466576 112070080 133083220 212933152 224140160 266166440 425866304 532332880 851732608 1064665760 2129331520 4258663040