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800030472 = 233177924821
BaseRepresentation
bin101111101011110…
…111111100001000
32001202101202111020
4233223313330020
53114301433342
6211215232440
725553101233
oct5753677410
92052352436
10800030472
1138066180a
121a3b18720
13c9993a17
147837641a
154a3810ec
hex2faf7f08

800030472 has 64 divisors (see below), whose sum is σ = 2144620800. Its totient is φ = 247802880.

The previous prime is 800030467. The next prime is 800030477. The reversal of 800030472 is 274030008.

It is an interprime number because it is at equal distance from previous prime (800030467) and next prime (800030477).

It is a super-2 number, since 2×8000304722 = 1280097512257085568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (800030477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19822 + ... + 44642.

It is an arithmetic number, because the mean of its divisors is an integer number (33509700).

Almost surely, 2800030472 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 800030472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072310400).

800030472 is an abundant number, since it is smaller than the sum of its proper divisors (1344590328).

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

800030472 is a wasteful number, since it uses less digits than its factorization.

800030472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24926 (or 24922 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 800030472 is about 28284.8099162784. The cubic root of 800030472 is about 928.3295531142.

The spelling of 800030472 in words is "eight hundred million, thirty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 316 408 474 632 948 1343 1896 2686 4029 5372 8058 10744 16116 24821 32232 49642 74463 99284 148926 198568 297852 421957 595704 843914 1265871 1687828 1960859 2531742 3375656 3921718 5063484 5882577 7843436 10126968 11765154 15686872 23530308 33334603 47060616 66669206 100003809 133338412 200007618 266676824 400015236 800030472