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3053462432 = 25292831367
BaseRepresentation
bin1011011000000000…
…0010001110100000
321212210121222000012
42312000002032200
522223141244212
61222554144052
7135445000556
oct26600021640
97783558005
103053462432
111327666579
12712722028
133987b2907
1420d761bd6
1512d104922
hexb60023a0

3053462432 has 72 divisors (see below), whose sum is σ = 6305566176. Its totient is φ = 1455259904.

The previous prime is 3053462411. The next prime is 3053462441. The reversal of 3053462432 is 2342643503.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2233013 + ... + 2234379.

It is an arithmetic number, because the mean of its divisors is an integer number (87577308).

Almost surely, 23053462432 is an apocalyptic number.

3053462432 is a gapful number since it is divisible by the number (32) 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 3053462432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152783088).

3053462432 is an abundant number, since it is smaller than the sum of its proper divisors (3252103744).

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

3053462432 is a wasteful number, since it uses less digits than its factorization.

3053462432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

The square root of 3053462432 is about 55258.1435808334. The cubic root of 3053462432 is about 1450.7665280445.

The spelling of 3053462432 in words is "three billion, fifty-three million, four hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 83 116 166 232 332 464 664 841 928 1328 1367 1682 2407 2656 2734 3364 4814 5468 6728 9628 10936 13456 19256 21872 26912 38512 39643 43744 69803 77024 79286 113461 139606 158572 226922 279212 317144 453844 558424 634288 907688 1116848 1149647 1268576 1815376 2233696 2299294 3290369 3630752 4598588 6580738 9197176 13161476 18394352 26322952 36788704 52645904 95420701 105291808 190841402 381682804 763365608 1526731216 3053462432