Search a number
-
+
64329648 = 2436783241
BaseRepresentation
bin1111010101100…
…1011110110000
311111001021200120
43311121132300
5112432022043
610214450240
71410535665
oct365313660
9144037616
1064329648
11333488a9
1219663980
13104348a6
148787a6c
1559aa983
hex3d597b0

64329648 has 80 divisors (see below), whose sum is σ = 171405696. Its totient is φ = 20782080.

The previous prime is 64329641. The next prime is 64329659. The reversal of 64329648 is 84692346.

It is a happy number.

It is a super-2 number, since 2×643296482 = 8276607223607808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

64329648 is a modest number, since divided by 9648 gives 6432 as remainder.

It is not an unprimeable number, because it can be changed into a prime (64329641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266808 + ... + 267048.

Almost surely, 264329648 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 64329648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85702848).

64329648 is an abundant number, since it is smaller than the sum of its proper divisors (107076048).

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

64329648 is a wasteful number, since it uses less digits than its factorization.

64329648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 64329648 is about 8020.5765378806. The cubic root of 64329648 is about 400.6855909081.

The spelling of 64329648 in words is "sixty-four million, three hundred twenty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 83 134 166 201 241 249 268 332 402 482 498 536 664 723 804 964 996 1072 1328 1446 1608 1928 1992 2892 3216 3856 3984 5561 5784 11122 11568 16147 16683 20003 22244 32294 33366 40006 44488 48441 60009 64588 66732 80012 88976 96882 120018 129176 133464 160024 193764 240036 258352 266928 320048 387528 480072 775056 960144 1340201 2680402 4020603 5360804 8041206 10721608 16082412 21443216 32164824 64329648