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424399808 = 2671973683
BaseRepresentation
bin11001010010111…
…101001111000000
31002120120202002102
4121102331033000
51332121243213
6110040205532
713342224140
oct3122751700
91076522072
10424399808
111a8620948
12ba1698a8
1369c05561
1440516920
15273d3158
hex194bd3c0

424399808 has 112 divisors (see below), whose sum is σ = 1028517120. Its totient is φ = 169703424.

The previous prime is 424399799. The next prime is 424399817. The reversal of 424399808 is 808993424.

It is an interprime number because it is at equal distance from previous prime (424399799) and next prime (424399817).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 621035 + ... + 621717.

Almost surely, 2424399808 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 424399808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514258560).

424399808 is an abundant number, since it is smaller than the sum of its proper divisors (604117312).

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

424399808 is a wasteful number, since it uses less digits than its factorization.

424399808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 424399808 is about 20600.9661909339. The cubic root of 424399808 is about 751.4932076534.

The spelling of 424399808 in words is "four hundred twenty-four million, three hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 73 76 112 133 146 152 224 266 292 304 448 511 532 584 608 683 1022 1064 1168 1216 1366 1387 2044 2128 2336 2732 2774 4088 4256 4672 4781 5464 5548 8176 8512 9562 9709 10928 11096 12977 16352 19124 19418 21856 22192 25954 32704 38248 38836 43712 44384 49859 51908 76496 77672 88768 90839 99718 103816 152992 155344 181678 199436 207632 305984 310688 349013 363356 398872 415264 621376 698026 726712 797744 830528 947321 1396052 1453424 1595488 1894642 2792104 2906848 3190976 3789284 5584208 5813696 6631247 7578568 11168416 13262494 15157136 22336832 26524988 30314272 53049976 60628544 106099952 212199904 424399808