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612688944 = 24372331787
BaseRepresentation
bin100100100001001…
…110010000110000
31120200212211020010
4210201032100300
52223322021234
6140444014520
721116525100
oct4441162060
91520784203
10612688944
112949352aa
12151231440
1399c1c34a
145b52b200
1538bc76e9
hex2484e430

612688944 has 120 divisors (see below), whose sum is σ = 1849101888. Its totient is φ = 174303360.

The previous prime is 612688939. The next prime is 612688963. The reversal of 612688944 is 449886216.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 612688893 and 612688902.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778119 + ... + 778905.

Almost surely, 2612688944 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 612688944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924550944).

612688944 is an abundant number, since it is smaller than the sum of its proper divisors (1236412944).

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

612688944 is a wasteful number, since it uses less digits than its factorization.

612688944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1130 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 612688944 is about 24752.5542924362. The cubic root of 612688944 is about 849.3369426513.

The spelling of 612688944 in words is "six hundred twelve million, six hundred eighty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 331 336 392 588 662 784 787 993 1176 1324 1574 1986 2317 2352 2361 2648 3148 3972 4634 4722 5296 5509 6296 6951 7944 9268 9444 11018 12592 13902 15888 16219 16527 18536 18888 22036 27804 32438 33054 37072 37776 38563 44072 48657 55608 64876 66108 77126 88144 97314 111216 115689 129752 132216 154252 194628 231378 259504 260497 264432 308504 389256 462756 520994 617008 778512 781491 925512 1041988 1562982 1823479 1851024 2083976 3125964 3646958 4167952 5470437 6251928 7293916 10940874 12503856 12764353 14587832 21881748 25528706 29175664 38293059 43763496 51057412 76586118 87526992 102114824 153172236 204229648 306344472 612688944