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64488690 = 23357149229
BaseRepresentation
bin1111011000000…
…0010011110010
311111100100212000
43312000103302
5113002114230
610222114430
71412100450
oct366002362
9144310760
1064488690
1133447342
121971ba16
131048c0b6
1487c99d0
1559dcb60
hex3d804f2

64488690 has 128 divisors (see below), whose sum is σ = 198720000. Its totient is φ = 14577408.

The previous prime is 64488673. The next prime is 64488707. The reversal of 64488690 is 9688446.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64488673) and next prime (64488707).

It is a super-2 number, since 2×644886902 = 8317582275832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281496 + ... + 281724.

It is an arithmetic number, because the mean of its divisors is an integer number (1552500).

Almost surely, 264488690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64488690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99360000).

64488690 is an abundant number, since it is smaller than the sum of its proper divisors (134231310).

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

64488690 is a wasteful number, since it uses less digits than its factorization.

64488690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 64488690 is about 8030.4850413907. The cubic root of 64488690 is about 401.0155237635.

The spelling of 64488690 in words is "sixty-four million, four hundred eighty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 149 189 210 229 270 298 315 378 447 458 630 687 745 894 945 1043 1145 1341 1374 1490 1603 1890 2061 2086 2235 2290 2682 3129 3206 3435 4023 4122 4470 4809 5215 6183 6258 6705 6870 8015 8046 9387 9618 10305 10430 12366 13410 14427 15645 16030 18774 20115 20610 24045 28161 28854 30915 31290 34121 40230 43281 46935 48090 56322 61830 68242 72135 86562 93870 102363 140805 144270 170605 204726 216405 238847 281610 307089 341210 432810 477694 511815 614178 716541 921267 1023630 1194235 1433082 1535445 1842534 2149623 2388470 3070890 3582705 4299246 4606335 6448869 7165410 9212670 10748115 12897738 21496230 32244345 64488690