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420873856 = 27133141199
BaseRepresentation
bin11001000101100…
…000011010000000
31002022221121101121
4121011200122000
51330220430411
6105432442024
713300240324
oct3105403200
91068847347
10420873856
111a6632837
12b8b49314
136926c6b0
143dc79984
1526e38571
hex19160680

420873856 has 128 divisors (see below), whose sum is σ = 959616000. Its totient is φ = 182476800.

The previous prime is 420873847. The next prime is 420873863. The reversal of 420873856 is 658378024.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2114845 + ... + 2115043.

It is an arithmetic number, because the mean of its divisors is an integer number (7497000).

Almost surely, 2420873856 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 420873856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479808000).

420873856 is an abundant number, since it is smaller than the sum of its proper divisors (538742144).

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

420873856 is a wasteful number, since it uses less digits than its factorization.

420873856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 420873856 is about 20515.2103571960. The cubic root of 420873856 is about 749.4062595686.

The spelling of 420873856 in words is "four hundred twenty million, eight hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 41 52 62 64 82 104 124 128 164 199 208 248 328 398 403 416 496 533 656 796 806 832 992 1066 1271 1312 1592 1612 1664 1984 2132 2542 2587 2624 3184 3224 3968 4264 5084 5174 5248 6169 6368 6448 8159 8528 10168 10348 12338 12736 12896 16318 16523 17056 20336 20696 24676 25472 25792 32636 33046 34112 40672 41392 49352 51584 65272 66092 68224 80197 81344 82784 98704 106067 130544 132184 160394 162688 165568 197408 212134 252929 261088 264368 320788 331136 394816 424268 505858 522176 528736 641576 789632 848536 1011716 1044352 1057472 1283152 1697072 2023432 2114944 2566304 3288077 3394144 4046864 5132608 6576154 6788288 8093728 10265216 13152308 13576576 16187456 26304616 32374912 52609232 105218464 210436928 420873856