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671612928 = 2193761
BaseRepresentation
bin101000000010000…
…000000000000000
31201210202110201220
4220002000000000
52333413103203
6150350555040
722433421120
oct5002000000
91653673656
10671612928
11315120808
12168b08a80
13a91b05cc
14652a8c80
153de66653
hex28080000

671612928 has 160 divisors (see below), whose sum is σ = 2080372800. Its totient is φ = 188743680.

The previous prime is 671612917. The next prime is 671612941. The reversal of 671612928 is 829216176.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 671612928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11010018 + ... + 11010078.

It is an arithmetic number, because the mean of its divisors is an integer number (13002330).

Almost surely, 2671612928 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 671612928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040186400).

671612928 is an abundant number, since it is smaller than the sum of its proper divisors (1408759872).

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

671612928 is an frugal number, since it uses more digits than its factorization.

671612928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 671612928 is about 25915.4959049600. The cubic root of 671612928 is about 875.7356221430.

The spelling of 671612928 in words is "six hundred seventy-one million, six hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 512 672 732 768 854 896 976 1024 1281 1344 1464 1536 1708 1792 1952 2048 2562 2688 2928 3072 3416 3584 3904 4096 5124 5376 5856 6144 6832 7168 7808 8192 10248 10752 11712 12288 13664 14336 15616 16384 20496 21504 23424 24576 27328 28672 31232 32768 40992 43008 46848 49152 54656 57344 62464 65536 81984 86016 93696 98304 109312 114688 124928 131072 163968 172032 187392 196608 218624 229376 249856 262144 327936 344064 374784 393216 437248 458752 499712 524288 655872 688128 749568 786432 874496 917504 999424 1311744 1376256 1499136 1572864 1748992 1835008 1998848 2623488 2752512 2998272 3497984 3670016 3997696 5246976 5505024 5996544 6995968 7995392 10493952 11010048 11993088 13991936 15990784 20987904 23986176 27983872 31981568 41975808 47972352 55967744 83951616 95944704 111935488 167903232 223870976 335806464 671612928