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673993656 = 233372319381
BaseRepresentation
bin101000001011000…
…101001110111000
31201222020102111000
4220023011032320
52340020244111
6150514005000
722462565040
oct5013051670
91658212430
10673993656
113164a7456
12169876760
13a983511b
1465728720
153e286c56
hex282c53b8

673993656 has 128 divisors (see below), whose sum is σ = 2232806400. Its totient is φ = 184187520.

The previous prime is 673993651. The next prime is 673993657. The reversal of 673993656 is 656399376.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673993651) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25086 + ... + 44466.

It is an arithmetic number, because the mean of its divisors is an integer number (17443800).

Almost surely, 2673993656 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 673993656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116403200).

673993656 is an abundant number, since it is smaller than the sum of its proper divisors (1558812744).

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

673993656 is a wasteful number, since it uses less digits than its factorization.

673993656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19426 (or 19416 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 54.

The square root of 673993656 is about 25961.3877903320. The cubic root of 673993656 is about 876.7691686850.

The spelling of 673993656 in words is "six hundred seventy-three million, nine hundred ninety-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 644 756 828 966 1242 1288 1449 1512 1656 1932 2484 2898 3864 4347 4968 5796 8694 11592 17388 19381 34776 38762 58143 77524 116286 135667 155048 174429 232572 271334 348858 407001 445763 465144 523287 542668 697716 814002 891526 1046574 1085336 1221003 1337289 1395432 1628004 1783052 2093148 2442006 2674578 3120341 3256008 3566104 3663009 4011867 4186296 4884012 5349156 6240682 7326018 8023734 9361023 9768024 10698312 12035601 12481364 14652036 16047468 18722046 24071202 24962728 28083069 29304072 32094936 37444092 48142404 56166138 74888184 84249207 96284808 112332276 168498414 224664552 336996828 673993656