Search a number
-
+
144748464 = 2437430799
BaseRepresentation
bin10001010000010…
…10111110110000
3101002100222120020
420220022332300
5244023422324
622210243440
73405225120
oct1050127660
9332328506
10144748464
1174785733
1240586580
1323cb07a3
141531cc80
15ca93679
hex8a0afb0

144748464 has 40 divisors (see below), whose sum is σ = 427353600. Its totient is φ = 41356608.

The previous prime is 144748447. The next prime is 144748469. The reversal of 144748464 is 464847441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144748469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215064 + ... + 215735.

It is an arithmetic number, because the mean of its divisors is an integer number (10683840).

Almost surely, 2144748464 is an apocalyptic number.

144748464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144748464 is an abundant number, since it is smaller than the sum of its proper divisors (282605136).

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

144748464 is a wasteful number, since it uses less digits than its factorization.

144748464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430817 (or 430811 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

The square root of 144748464 is about 12031.1455813651. The cubic root of 144748464 is about 525.0548260203.

The spelling of 144748464 in words is "one hundred forty-four million, seven hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 430799 861598 1292397 1723196 2584794 3015593 3446392 5169588 6031186 6892784 9046779 10339176 12062372 18093558 20678352 24124744 36187116 48249488 72374232 144748464