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4292420352 = 283111034933
BaseRepresentation
bin1111111111011001…
…0010001100000000
3102002010221112202120
43333312102030000
532242324422402
61545533244240
7211240654023
oct37766221400
912063845676
104292420352
111902a60a40
129b9633680
135353974cc
142ca1131ba
151a1c883bc
hexffd92300

4292420352 has 144 divisors (see below), whose sum is σ = 12586199808. Its totient is φ = 1287843840.

The previous prime is 4292420351. The next prime is 4292420369. The reversal of 4292420352 is 2530242924.

4292420352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4292420351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867678 + ... + 872610.

Almost surely, 24292420352 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 4292420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6293099904).

4292420352 is an abundant number, since it is smaller than the sum of its proper divisors (8293779456).

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

4292420352 is a wasteful number, since it uses less digits than its factorization.

4292420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4292420352 is about 65516.5654777477. The cubic root of 4292420352 is about 1625.1773031942.

The spelling of 4292420352 in words is "four billion, two hundred ninety-two million, four hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 103 128 132 176 192 206 256 264 309 352 384 412 528 618 704 768 824 1056 1133 1236 1408 1648 2112 2266 2472 2816 3296 3399 4224 4532 4933 4944 6592 6798 8448 9064 9866 9888 13184 13596 14799 18128 19732 19776 26368 27192 29598 36256 39464 39552 54263 54384 59196 72512 78928 79104 108526 108768 118392 145024 157856 162789 217052 217536 236784 290048 315712 325578 434104 435072 473568 508099 631424 651156 868208 870144 947136 1016198 1262848 1302312 1524297 1736416 1894272 2032396 2604624 3048594 3472832 3788544 4064792 5209248 5589089 6097188 6945664 8129584 10418496 11178178 12194376 13891328 16259168 16767267 20836992 22356356 24388752 32518336 33534534 41673984 44712712 48777504 65036672 67069068 89425424 97555008 130073344 134138136 178850848 195110016 268276272 357701696 390220032 536552544 715403392 1073105088 1430806784 2146210176 4292420352