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64442040 = 233513101409
BaseRepresentation
bin1111010111010…
…0111010111000
311111020222212020
43311310322320
5112444121130
610221114440
71411514445
oct365647270
9144228766
1064442040
1133415293
12196b8a20
1310473ab0
1487b69cc
1559cde10
hex3d74eb8

64442040 has 128 divisors (see below), whose sum is σ = 210772800. Its totient is φ = 15667200.

The previous prime is 64442039. The next prime is 64442041. The reversal of 64442040 is 4024446.

It is an interprime number because it is at equal distance from previous prime (64442039) and next prime (64442041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64442040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64442041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157356 + ... + 157764.

Almost surely, 264442040 is an apocalyptic number.

64442040 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 64442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105386400).

64442040 is an abundant number, since it is smaller than the sum of its proper divisors (146330760).

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

64442040 is a wasteful number, since it uses less digits than its factorization.

64442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 64442040 is about 8027.5799591159. The cubic root of 64442040 is about 400.9188045462.

Adding to 64442040 its reverse (4024446), we get a palindrome (68466486).

The spelling of 64442040 in words is "sixty-four million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 101 104 120 130 156 195 202 260 303 312 390 404 409 505 520 606 780 808 818 1010 1212 1227 1313 1515 1560 1636 2020 2045 2424 2454 2626 3030 3272 3939 4040 4090 4908 5252 5317 6060 6135 6565 7878 8180 9816 10504 10634 12120 12270 13130 15756 15951 16360 19695 21268 24540 26260 26585 31512 31902 39390 41309 42536 49080 52520 53170 63804 78780 79755 82618 106340 123927 127608 157560 159510 165236 206545 212680 247854 319020 330472 413090 495708 537017 619635 638040 826180 991416 1074034 1239270 1611051 1652360 2148068 2478540 2685085 3222102 4296136 4957080 5370170 6444204 8055255 10740340 12888408 16110510 21480680 32221020 64442040