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427793016 = 233741173359
BaseRepresentation
bin11001011111111…
…001101001111000
31002210222010200210
4121133321221320
51334003334031
6110241031120
713413115650
oct3137715170
91083863623
10427793016
111aa529252
12bb3254a0
136a822b81
1440b5b360
1527853746
hex197f9a78

427793016 has 128 divisors (see below), whose sum is σ = 1262822400. Its totient is φ = 118225920.

The previous prime is 427792991. The next prime is 427793021. The reversal of 427793016 is 610397724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1191445 + ... + 1191803.

It is an arithmetic number, because the mean of its divisors is an integer number (9865800).

Almost surely, 2427793016 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 427793016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631411200).

427793016 is an abundant number, since it is smaller than the sum of its proper divisors (835029384).

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

427793016 is a wasteful number, since it uses less digits than its factorization.

427793016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 427793016 is about 20683.1577859862. The cubic root of 427793016 is about 753.4907005849.

The spelling of 427793016 in words is "four hundred twenty-seven million, seven hundred ninety-three thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 173 246 287 328 346 359 492 519 574 692 718 861 984 1038 1077 1148 1211 1384 1436 1722 2076 2154 2296 2422 2513 2872 3444 3633 4152 4308 4844 5026 6888 7093 7266 7539 8616 9688 10052 14186 14532 14719 15078 20104 21279 28372 29064 29438 30156 42558 44157 49651 56744 58876 60312 62107 85116 88314 99302 103033 117752 124214 148953 170232 176628 186321 198604 206066 248428 297906 309099 353256 372642 397208 412132 434749 496856 595812 618198 745284 824264 869498 1191624 1236396 1304247 1490568 1738996 2472792 2546387 2608494 3477992 5092774 5216988 7639161 10185548 10433976 15278322 17824709 20371096 30556644 35649418 53474127 61113288 71298836 106948254 142597672 213896508 427793016