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64375440 = 2435347773
BaseRepresentation
bin1111010110010…
…0101010010000
311111010121111120
43311210222100
5112440003230
610215442240
71411116333
oct365445220
9144117446
1064375440
113337a248
1219686380
131044c69c
14879a61a
1559b9310
hex3d64a90

64375440 has 80 divisors (see below), whose sum is σ = 200397888. Its totient is φ = 17095168.

The previous prime is 64375433. The next prime is 64375489. The reversal of 64375440 is 4457346.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82894 + ... + 83666.

Almost surely, 264375440 is an apocalyptic number.

64375440 is a gapful number since it is divisible by the number (60) 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 64375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100198944).

64375440 is an abundant number, since it is smaller than the sum of its proper divisors (136022448).

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

64375440 is a wasteful number, since it uses less digits than its factorization.

64375440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 64375440 is about 8023.4306876797. The cubic root of 64375440 is about 400.7806421701.

The spelling of 64375440 in words is "sixty-four million, three hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 347 694 773 1041 1388 1546 1735 2082 2319 2776 3092 3470 3865 4164 4638 5205 5552 6184 6940 7730 8328 9276 10410 11595 12368 13880 15460 16656 18552 20820 23190 27760 30920 37104 41640 46380 61840 83280 92760 185520 268231 536462 804693 1072924 1341155 1609386 2145848 2682310 3218772 4023465 4291696 5364620 6437544 8046930 10729240 12875088 16093860 21458480 32187720 64375440