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2026034448 = 2431989109229
BaseRepresentation
bin111100011000010…
…1101010100010000
312020012100012202220
41320300231110100
513122131100243
6533012541040
7101131002654
oct17060552420
95205305686
102026034448
1194a709739
12486621780
13263991369
14153114a64
15bcd06783
hex78c2d510

2026034448 has 160 divisors (see below), whose sum is σ = 5646960000. Its totient is φ = 624070656.

The previous prime is 2026034389. The next prime is 2026034477. The reversal of 2026034448 is 8444306202.

It is a super-3 number, since 3×20260344483 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8847198 + ... + 8847426.

It is an arithmetic number, because the mean of its divisors is an integer number (35293500).

Almost surely, 22026034448 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 2026034448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823480000).

2026034448 is an abundant number, since it is smaller than the sum of its proper divisors (3620925552).

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

2026034448 is a wasteful number, since it uses less digits than its factorization.

2026034448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2026034448 is about 45011.4923991640. The cubic root of 2026034448 is about 1265.3643902265.

The spelling of 2026034448 in words is "two billion, twenty-six million, thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 89 109 114 152 178 218 228 229 267 304 327 356 436 456 458 534 654 687 712 872 912 916 1068 1308 1374 1424 1691 1744 1832 2071 2136 2616 2748 3382 3664 4142 4272 4351 5073 5232 5496 6213 6764 8284 8702 9701 10146 10992 12426 13053 13528 16568 17404 19402 20292 20381 24852 24961 26106 27056 29103 33136 34808 38804 40584 40762 49704 49922 52212 58206 61143 69616 74883 77608 81168 81524 99408 99844 104424 116412 122286 149766 155216 163048 184319 199688 208848 232824 244572 299532 326096 368638 387239 399376 465648 474259 489144 552957 599064 737276 774478 948518 978288 1105914 1161717 1198128 1422777 1474552 1548956 1897036 2211828 2221529 2323434 2845554 2949104 3097912 3794072 4423656 4443058 4646868 5691108 6195824 6664587 7588144 8847312 8886116 9293736 11382216 13329174 17772232 18587472 22764432 26658348 35544464 42209051 53316696 84418102 106633392 126627153 168836204 253254306 337672408 506508612 675344816 1013017224 2026034448