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464423424 = 2931372207
BaseRepresentation
bin11011101011101…
…000101000000000
31012100220011011120
4123223220220000
51422343022144
6114030112240
714336351103
oct3353505000
91170804146
10464423424
11219178213
1210b64b680
13752a9a7a
144597473a
152ab8be19
hex1bae8a00

464423424 has 80 divisors (see below), whose sum is σ = 1246848768. Its totient is φ = 153608192.

The previous prime is 464423423. The next prime is 464423437. The reversal of 464423424 is 424324464.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464423423) 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, 209329 + ... + 211535.

Almost surely, 2464423424 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 464423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623424384).

464423424 is an abundant number, since it is smaller than the sum of its proper divisors (782425344).

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

464423424 is a wasteful number, since it uses less digits than its factorization.

464423424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2349 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

The square root of 464423424 is about 21550.4854701698. The cubic root of 464423424 is about 774.4107482059.

Adding to 464423424 its reverse (424324464), we get a palindrome (888747888).

The spelling of 464423424 in words is "four hundred sixty-four million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 512 548 768 822 1096 1536 1644 2192 2207 3288 4384 4414 6576 6621 8768 8828 13152 13242 17536 17656 26304 26484 35072 35312 52608 52968 70144 70624 105216 105936 141248 210432 211872 282496 302359 423744 564992 604718 847488 907077 1129984 1209436 1694976 1814154 2418872 3389952 3628308 4837744 7256616 9675488 14513232 19350976 29026464 38701952 58052928 77403904 116105856 154807808 232211712 464423424