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423966528 = 26331072293
BaseRepresentation
bin11001010001010…
…011011101000000
31002112202201202000
4121101103131000
51332013412103
6110023024000
713335441006
oct3121233500
91075681660
10423966528
111a8355367
12b9b9b000
1369ab328b
1440442a76
1527349aa3
hex19453740

423966528 has 112 divisors (see below), whose sum is σ = 1258580160. Its totient is φ = 139940352.

The previous prime is 423966523. The next prime is 423966539. The reversal of 423966528 is 825669324.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423966523) 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, 183750 + ... + 186042.

Almost surely, 2423966528 is an apocalyptic number.

423966528 is a gapful number since it is divisible by the number (48) 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 423966528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629290080).

423966528 is an abundant number, since it is smaller than the sum of its proper divisors (834613632).

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

423966528 is a wasteful number, since it uses less digits than its factorization.

423966528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2405 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 423966528 is about 20590.4474939230. The cubic root of 423966528 is about 751.2373813937.

The spelling of 423966528 in words is "four hundred twenty-three million, nine hundred sixty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 107 108 144 192 214 216 288 321 428 432 576 642 856 864 963 1284 1712 1728 1926 2293 2568 2889 3424 3852 4586 5136 5778 6848 6879 7704 9172 10272 11556 13758 15408 18344 20544 20637 23112 27516 30816 36688 41274 46224 55032 61632 61911 73376 82548 92448 110064 123822 146752 165096 184896 220128 245351 247644 330192 440256 490702 495288 660384 736053 981404 990576 1320768 1472106 1962808 1981152 2208159 2944212 3925616 3962304 4416318 5888424 6624477 7851232 8832636 11776848 13248954 15702464 17665272 23553696 26497908 35330544 47107392 52995816 70661088 105991632 141322176 211983264 423966528