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64989144 = 233211312647
BaseRepresentation
bin1111011111101…
…0011111011000
311112021210100100
43313322133120
5113114123034
610240535400
71416253503
oct367723730
9145253310
1064989144
1133759340
1219921560
1310605b1c
1488ba13a
155a8b099
hex3dfa7d8

64989144 has 96 divisors (see below), whose sum is σ = 198282240. Its totient is φ = 19051200.

The previous prime is 64989143. The next prime is 64989151. The reversal of 64989144 is 44198946.

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 64989144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64989143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23229 + ... + 25875.

It is an arithmetic number, because the mean of its divisors is an integer number (2065440).

Almost surely, 264989144 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 64989144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99141120).

64989144 is an abundant number, since it is smaller than the sum of its proper divisors (133293096).

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

64989144 is a wasteful number, since it uses less digits than its factorization.

64989144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2694 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 64989144 is about 8061.5844596456. The cubic root of 64989144 is about 402.0501905107.

The spelling of 64989144 in words is "sixty-four million, nine hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2647 2728 3069 4092 5294 6138 7941 8184 10588 12276 15882 21176 23823 24552 29117 31764 47646 58234 63528 82057 87351 95292 116468 164114 174702 190584 232936 246171 262053 328228 349404 492342 524106 656456 698808 738513 902627 984684 1048212 1477026 1805254 1969368 2096424 2707881 2954052 3610508 5415762 5908104 7221016 8123643 10831524 16247286 21663048 32494572 64989144