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666629424 = 243223431467
BaseRepresentation
bin100111101110111…
…111010100110000
31201110101021122200
4213232333110300
52331124120144
6150052103200
722343154006
oct4756772460
91643337580
10666629424
1131232760a
12167304b00
13a81571a6
146476ca76
153d7cec69
hex27bbf530

666629424 has 120 divisors (see below), whose sum is σ = 1955446272. Its totient is φ = 211601280.

The previous prime is 666629417. The next prime is 666629441. The reversal of 666629424 is 424926666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 666629424.

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, 1427239 + ... + 1427705.

Almost surely, 2666629424 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 666629424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977723136).

666629424 is an abundant number, since it is smaller than the sum of its proper divisors (1288816848).

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

666629424 is a wasteful number, since it uses less digits than its factorization.

666629424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 926 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 666629424 is about 25819.1677635047. The cubic root of 666629424 is about 873.5641972003.

The spelling of 666629424 in words is "six hundred sixty-six million, six hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 431 467 552 828 862 934 1104 1293 1401 1656 1724 1868 2586 2802 3312 3448 3736 3879 4203 5172 5604 6896 7472 7758 8406 9913 10344 10741 11208 15516 16812 19826 20688 21482 22416 29739 31032 32223 33624 39652 42964 59478 62064 64446 67248 79304 85928 89217 96669 118956 128892 158608 171856 178434 193338 201277 237912 257784 356868 386676 402554 475824 515568 603831 713736 773352 805108 1207662 1427472 1546704 1610216 1811493 2415324 3220432 3622986 4629371 4830648 7245972 9258742 9661296 13888113 14491944 18517484 27776226 28983888 37034968 41664339 55552452 74069936 83328678 111104904 166657356 222209808 333314712 666629424