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612880928 = 251110117239
BaseRepresentation
bin100100100001111…
…101001000100000
31120201020120120122
4210201331020200
52223344142203
6140452055412
721121254602
oct4441751040
91521216518
10612880928
11294a56570
12151304568
1399c8884a
145b57b172
1538c14538
hex2487d220

612880928 has 48 divisors (see below), whose sum is σ = 1329410880. Its totient is φ = 275808000.

The previous prime is 612880927. The next prime is 612880999. The reversal of 612880928 is 829088216.

It is a super-2 number, since 2×6128809282 = 751246063812282368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (612880921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26933 + ... + 44171.

It is an arithmetic number, because the mean of its divisors is an integer number (27696060).

Almost surely, 2612880928 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 612880928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664705440).

612880928 is an abundant number, since it is smaller than the sum of its proper divisors (716529952).

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

612880928 is a wasteful number, since it uses less digits than its factorization.

612880928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17361 (or 17353 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 612880928 is about 24756.4320531049. The cubic root of 612880928 is about 849.4256456692.

The spelling of 612880928 in words is "six hundred twelve million, eight hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1616 2222 3232 4444 8888 17239 17776 34478 35552 68956 137912 189629 275824 379258 551648 758516 1517032 1741139 3034064 3482278 6068128 6964556 13929112 19152529 27858224 38305058 55716448 76610116 153220232 306440464 612880928