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416113432 = 23773101789
BaseRepresentation
bin11000110011010…
…110001100011000
31001222222202022121
4120303112030120
51323011112212
6105142431024
713211622460
oct3063261430
91058882277
10416113432
111a39811a9
12b7432474
1368293987
143d39aba0
15267e7d07
hex18cd6318

416113432 has 32 divisors (see below), whose sum is σ = 903895200. Its totient is φ = 175889664.

The previous prime is 416113429. The next prime is 416113499. The reversal of 416113432 is 234311614.

It is a junction number, because it is equal to n+sod(n) for n = 416113397 and 416113406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46807 + ... + 54982.

It is an arithmetic number, because the mean of its divisors is an integer number (28246725).

Almost surely, 2416113432 is an apocalyptic number.

It is an amenable number.

416113432 is an abundant number, since it is smaller than the sum of its proper divisors (487781768).

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

416113432 is a wasteful number, since it uses less digits than its factorization.

416113432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101875 (or 101871 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 416113432 is about 20398.8585955195. The cubic root of 416113432 is about 746.5700755508.

The spelling of 416113432 in words is "four hundred sixteen million, one hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 2044 4088 101789 203578 407156 712523 814312 1425046 2850092 5700184 7430597 14861194 29722388 52014179 59444776 104028358 208056716 416113432