Search a number
-
+
405148933 = 72336771
BaseRepresentation
bin11000001001100…
…001010100000101
31001020100200212001
4120021201110011
51312204231213
6104111425301
713016465140
oct3011412405
91036320761
10405148933
11198772432
12b3825231
1365c250c7
143bb45057
152587e1dd
hex18261505

405148933 has 32 divisors (see below), whose sum is σ = 498216960. Its totient is φ = 322605360.

The previous prime is 405148901. The next prime is 405148969. The reversal of 405148933 is 339841504.

It is not a de Polignac number, because 405148933 - 25 = 405148901 is a prime.

It is a super-2 number, since 2×4051489332 = 328291315822076978, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 405148892 and 405148901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405148993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5706288 + ... + 5706358.

It is an arithmetic number, because the mean of its divisors is an integer number (15569280).

Almost surely, 2405148933 is an apocalyptic number.

It is an amenable number.

405148933 is a deficient number, since it is larger than the sum of its proper divisors (93068027).

405148933 is an frugal number, since it uses more digits than its factorization.

405148933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 405148933 is about 20128.3117275146. The cubic root of 405148933 is about 739.9543026322.

The spelling of 405148933 in words is "four hundred five million, one hundred forty-eight thousand, nine hundred thirty-three".

Divisors: 1 7 23 67 71 161 469 497 529 1541 1633 3703 4757 10787 11431 12167 33299 35443 37559 85169 109411 248101 262913 765877 815189 863857 2516453 5706323 6046999 17615171 57878419 405148933