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401830872 = 23343401971
BaseRepresentation
bin10111111100110…
…111001111011000
31001000010010022220
4113330313033120
51310332041442
6103512344040
712646335402
oct2774671730
91030103286
10401830872
11196906533
12b26a5020
1365332a61
143b51db72
1525425eec
hex17f373d8

401830872 has 64 divisors (see below), whose sum is σ = 1031564160. Its totient is φ = 130368000.

The previous prime is 401830859. The next prime is 401830879. The reversal of 401830872 is 278038104.

It is a super-2 number, since 2×4018308722 = 322936099384560768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401830879) 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, 413347 + ... + 414317.

It is an arithmetic number, because the mean of its divisors is an integer number (16118190).

Almost surely, 2401830872 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 401830872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515782080).

401830872 is an abundant number, since it is smaller than the sum of its proper divisors (629733288).

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

401830872 is a wasteful number, since it uses less digits than its factorization.

401830872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 401830872 is about 20045.7195430845. The cubic root of 401830872 is about 737.9287539274.

Adding to 401830872 its reverse (278038104), we get a palindrome (679868976).

The spelling of 401830872 in words is "four hundred one million, eight hundred thirty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 401 516 802 971 1032 1203 1604 1942 2406 2913 3208 3884 4812 5826 7768 9624 11652 17243 23304 34486 41753 51729 68972 83506 103458 125259 137944 167012 206916 250518 334024 389371 413832 501036 778742 1002072 1168113 1557484 2336226 3114968 4672452 9344904 16742953 33485906 50228859 66971812 100457718 133943624 200915436 401830872