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612678048 = 25323318951
BaseRepresentation
bin100100100001001…
…011100110100000
31120200212021021120
4210201023212200
52223321144143
6140443452240
721116451243
oct4441134640
91520767246
10612678048
112949280a4
12151227080
1399c173b8
145b52725a
1538bc4383
hex2484b9a0

612678048 has 96 divisors (see below), whose sum is σ = 1732534272. Its totient is φ = 189024000.

The previous prime is 612678013. The next prime is 612678067. The reversal of 612678048 is 840876216.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63973 + ... + 72923.

It is an arithmetic number, because the mean of its divisors is an integer number (18047232).

Almost surely, 2612678048 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 612678048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866267136).

612678048 is an abundant number, since it is smaller than the sum of its proper divisors (1119856224).

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

612678048 is a wasteful number, since it uses less digits than its factorization.

612678048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9018 (or 9010 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 612678048 is about 24752.3341929605. The cubic root of 612678048 is about 849.3319077798.

The spelling of 612678048 in words is "six hundred twelve million, six hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 992 1104 1426 1488 2139 2208 2852 2976 4278 5704 8556 8951 11408 17112 17902 22816 26853 34224 35804 53706 68448 71608 107412 143216 205873 214824 277481 286432 411746 429648 554962 617619 823492 832443 859296 1109924 1235238 1646984 1664886 2219848 2470476 3293968 3329772 4439696 4940952 6382063 6587936 6659544 8879392 9881904 12764126 13319088 19146189 19763808 25528252 26638176 38292378 51056504 76584756 102113008 153169512 204226016 306339024 612678048