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64941440 = 275293499
BaseRepresentation
bin1111011110111…
…0110110000000
311112012100220112
43313232312000
5113111111230
610235530452
71415664434
oct367566600
9145170815
1064941440
1133726513
12198b9a28
13105ba1b5
1488a69c4
155a7bd95
hex3deed80

64941440 has 64 divisors (see below), whose sum is σ = 160650000. Its totient is φ = 25073664.

The previous prime is 64941421. The next prime is 64941463. The reversal of 64941440 is 4414946.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 64941397 and 64941406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16811 + ... + 20309.

Almost surely, 264941440 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 64941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80325000).

64941440 is an abundant number, since it is smaller than the sum of its proper divisors (95708560).

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

64941440 is a wasteful number, since it uses less digits than its factorization.

64941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 64941440 is about 8058.6251929222. The cubic root of 64941440 is about 401.9517940926.

The spelling of 64941440 in words is "sixty-four million, nine hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3499 3712 4640 6998 9280 13996 17495 18560 27992 34990 55984 69980 101471 111968 139960 202942 223936 279920 405884 447872 507355 559840 811768 1014710 1119680 1623536 2029420 2239360 3247072 4058840 6494144 8117680 12988288 16235360 32470720 64941440