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394414848 = 2832295903
BaseRepresentation
bin10111100000100…
…100101100000000
31000111011100110100
4113200210230000
51301432233343
6103045402400
712526320342
oct2740445400
91014140410
10394414848
11192700793
12b0109400
1363937389
143a54d292
152495d9d3
hex17824b00

394414848 has 108 divisors (see below), whose sum is σ = 1176608160. Its totient is φ = 126916608.

The previous prime is 394414843. The next prime is 394414859. The reversal of 394414848 is 848414493.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (394414843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63865 + ... + 69767.

It is an arithmetic number, because the mean of its divisors is an integer number (10894520).

Almost surely, 2394414848 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 394414848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588304080).

394414848 is an abundant number, since it is smaller than the sum of its proper divisors (782193312).

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

394414848 is a wasteful number, since it uses less digits than its factorization.

394414848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5937 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 394414848 is about 19859.8803621774. The cubic root of 394414848 is about 733.3609010757.

It can be divided in two parts, 3944148 and 48, that added together give a square (3944196 = 19862).

The spelling of 394414848 in words is "three hundred ninety-four million, four hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 5903 7424 8352 11136 11806 16704 17709 22272 23612 33408 35418 47224 53127 66816 70836 94448 106254 141672 171187 188896 212508 283344 342374 377792 425016 513561 566688 684748 755584 850032 1027122 1133376 1369496 1511168 1540683 1700064 2054244 2266752 2738992 3081366 3400128 4108488 4533504 5477984 6162732 6800256 8216976 10955968 12325464 13600512 16433952 21911936 24650928 32867904 43823872 49301856 65735808 98603712 131471616 197207424 394414848