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64290996 = 2235711859
BaseRepresentation
bin1111010101000…
…0000010110100
311110222022200000
43311100002310
5112424302441
610213551300
71410315210
oct365200264
9143868600
1064290996
1133321860
1219645530
1310420113
148777940
15599e2b6
hex3d500b4

64290996 has 144 divisors (see below), whose sum is σ = 210362880. Its totient is φ = 16679520.

The previous prime is 64290983. The next prime is 64291009. The reversal of 64290996 is 69909246.

It is an interprime number because it is at equal distance from previous prime (64290983) and next prime (64291009).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74415 + ... + 75273.

Almost surely, 264290996 is an apocalyptic number.

64290996 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64290996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105181440).

64290996 is an abundant number, since it is smaller than the sum of its proper divisors (146071884).

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

64290996 is a wasteful number, since it uses less digits than its factorization.

64290996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 64290996 is about 8018.1666233622. The cubic root of 64290996 is about 400.6053251582.

The spelling of 64290996 in words is "sixty-four million, two hundred ninety thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 693 756 859 891 924 972 1134 1188 1386 1701 1718 1782 2079 2268 2577 2673 2772 3402 3436 3564 4158 5154 5346 6013 6237 6804 7731 8316 9449 10308 10692 12026 12474 15462 18039 18711 18898 23193 24052 24948 28347 30924 36078 37422 37796 46386 54117 56694 66143 69579 72156 74844 85041 92772 108234 113388 132286 139158 162351 170082 198429 208737 216468 255123 264572 278316 324702 340164 396858 417474 487053 510246 595287 649404 765369 793716 834948 974106 1020492 1190574 1461159 1530738 1785861 1948212 2296107 2381148 2922318 3061476 3571722 4592214 5357583 5844636 7143444 9184428 10715166 16072749 21430332 32145498 64290996