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64233984 = 293193171
BaseRepresentation
bin1111010100001…
…0001000000000
311110212102110110
43311002020000
5112420441414
610212431320
71406660043
oct365021000
9143772413
1064233984
1133292a41
1219618540
1310400199
148760c5a
15598c459
hex3d42200

64233984 has 160 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 19353600.

The previous prime is 64233979. The next prime is 64233989. The reversal of 64233984 is 48933246.

It is an interprime number because it is at equal distance from previous prime (64233979) and next prime (64233989).

It is not an unprimeable number, because it can be changed into a prime (64233989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904669 + ... + 904739.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 264233984 is an apocalyptic number.

64233984 is a gapful number since it is divisible by the number (64) 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 64233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

64233984 is an abundant number, since it is smaller than the sum of its proper divisors (124325376).

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

64233984 is a wasteful number, since it uses less digits than its factorization.

64233984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 64233984 is about 8014.6106580420. The cubic root of 64233984 is about 400.4868738110.

The spelling of 64233984 in words is "sixty-four million, two hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 71 76 93 96 114 124 128 142 152 186 192 213 228 248 256 284 304 372 384 426 456 496 512 568 589 608 744 768 852 912 992 1136 1178 1216 1349 1488 1536 1704 1767 1824 1984 2201 2272 2356 2432 2698 2976 3408 3534 3648 3968 4047 4402 4544 4712 4864 5396 5952 6603 6816 7068 7296 7936 8094 8804 9088 9424 9728 10792 11904 13206 13632 14136 14592 15872 16188 17608 18176 18848 21584 23808 26412 27264 28272 29184 32376 35216 36352 37696 41819 43168 47616 52824 54528 56544 64752 70432 75392 83638 86336 105648 109056 113088 125457 129504 140864 150784 167276 172672 211296 226176 250914 259008 281728 301568 334552 345344 422592 452352 501828 518016 563456 669104 690688 845184 904704 1003656 1036032 1126912 1338208 1690368 2007312 2072064 2676416 3380736 4014624 5352832 8029248 10705664 16058496 21411328 32116992 64233984