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4293254304 = 25321071271097
BaseRepresentation
bin1111111111100101…
…1101110010100000
3102002012111220201200
43333321131302200
532243033114204
61550003201200
7211251026253
oct37771356240
912065456650
104293254304
111903480559
129b9976200
135355c9c81
142ca28d09a
151a1da0539
hexffe5dca0

4293254304 has 144 divisors (see below), whose sum is σ = 12431397888. Its totient is φ = 1405264896.

The previous prime is 4293254233. The next prime is 4293254389. The reversal of 4293254304 is 4034523924.

4293254304 is a `hidden beast` number, since 4 + 29 + 325 + 4 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3913084 + ... + 3914180.

It is an arithmetic number, because the mean of its divisors is an integer number (86329152).

Almost surely, 24293254304 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 4293254304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215698944).

4293254304 is an abundant number, since it is smaller than the sum of its proper divisors (8138143584).

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

4293254304 is a wasteful number, since it uses less digits than its factorization.

4293254304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4293254304 is about 65522.9296048338. The cubic root of 4293254304 is about 1625.2825454576.

The spelling of 4293254304 in words is "four billion, two hundred ninety-three million, two hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 127 144 214 254 288 321 381 428 508 642 762 856 963 1016 1097 1143 1284 1524 1712 1926 2032 2194 2286 2568 3048 3291 3424 3852 4064 4388 4572 5136 6096 6582 7704 8776 9144 9873 10272 12192 13164 13589 15408 17552 18288 19746 26328 27178 30816 35104 36576 39492 40767 52656 54356 78984 81534 105312 108712 117379 122301 139319 157968 163068 217424 234758 244602 278638 315936 326136 352137 417957 434848 469516 489204 557276 652272 704274 835914 939032 978408 1056411 1114552 1253871 1304544 1408548 1671828 1878064 1956816 2112822 2229104 2507742 2817096 3343656 3756128 3913632 4225644 4458208 5015484 5634192 6687312 8451288 10030968 11268384 13374624 14907133 16902576 20061936 29814266 33805152 40123872 44721399 59628532 89442798 119257064 134164197 178885596 238514128 268328394 357771192 477028256 536656788 715542384 1073313576 1431084768 2146627152 4293254304