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612629040 = 24352552621
BaseRepresentation
bin100100100000111…
…111101000110000
31120200202210001110
4210200333220300
52223313112130
6140442433320
721116155332
oct4440775060
91520683043
10612629040
112948a42a1
12151202840
1399bcacba
145b513452
1538bb4ab0
hex2483fa30

612629040 has 40 divisors (see below), whose sum is σ = 1899150768. Its totient is φ = 163367680.

The previous prime is 612629023. The next prime is 612629053. The reversal of 612629040 is 40926216.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 612628989 and 612629007.

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, 1276071 + ... + 1276550.

Almost surely, 2612629040 is an apocalyptic number.

612629040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

612629040 is an abundant number, since it is smaller than the sum of its proper divisors (1286521728).

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

612629040 is a wasteful number, since it uses less digits than its factorization.

612629040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552637 (or 2552631 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 612629040 is about 24751.3442059214. The cubic root of 612629040 is about 849.3092612103.

The spelling of 612629040 in words is "six hundred twelve million, six hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2552621 5105242 7657863 10210484 12763105 15315726 20420968 25526210 30631452 38289315 40841936 51052420 61262904 76578630 102104840 122525808 153157260 204209680 306314520 612629040