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64869984 = 253429863
BaseRepresentation
bin1111011101110…
…1011001100000
311112001201220000
43313131121200
5113101314414
610234220000
71415246214
oct367353140
9145051800
1064869984
1133687863
1219884600
131059380a
148888944
155a65b09
hex3ddd660

64869984 has 120 divisors (see below), whose sum is σ = 197588160. Its totient is φ = 20853504.

The previous prime is 64869979. The next prime is 64869989. The reversal of 64869984 is 48996846.

It is an interprime number because it is at equal distance from previous prime (64869979) and next prime (64869989).

It is a super-2 number, since 2×648699842 = 8416229648320512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64869984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64869989) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74737 + ... + 75599.

It is an arithmetic number, because the mean of its divisors is an integer number (1646568).

Almost surely, 264869984 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 64869984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

64869984 is an abundant number, since it is smaller than the sum of its proper divisors (132718176).

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

64869984 is a wasteful number, since it uses less digits than its factorization.

64869984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 897 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 64869984 is about 8054.1904621135. The cubic root of 64869984 is about 401.8043155426.

The spelling of 64869984 in words is "sixty-four million, eight hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 863 864 928 1044 1296 1392 1566 1726 2088 2349 2589 2592 2784 3132 3452 4176 4698 5178 6264 6904 7767 8352 9396 10356 12528 13808 15534 18792 20712 23301 25027 25056 27616 31068 37584 41424 46602 50054 62136 69903 75081 75168 82848 93204 100108 124272 139806 150162 186408 200216 225243 248544 279612 300324 372816 400432 450486 559224 600648 675729 745632 800864 900972 1118448 1201296 1351458 1801944 2027187 2236896 2402592 2702916 3603888 4054374 5405832 7207776 8108748 10811664 16217496 21623328 32434992 64869984