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385886208 = 2113181347
BaseRepresentation
bin10111000000000…
…010100000000000
3222220010001100210
4113000002200000
51242241324313
6102142514120
712363656451
oct2700024000
9886101323
10385886208
11188906024
12a9295940
1361c3c446
143936d128
1523d269c3
hex17002800

385886208 has 96 divisors (see below), whose sum is σ = 1037443680. Its totient is φ = 127549440.

The previous prime is 385886197. The next prime is 385886227. The reversal of 385886208 is 802688583.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1111891 + ... + 1112237.

It is an arithmetic number, because the mean of its divisors is an integer number (10806705).

Almost surely, 2385886208 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 385886208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518721840).

385886208 is an abundant number, since it is smaller than the sum of its proper divisors (651557472).

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

385886208 is a wasteful number, since it uses less digits than its factorization.

385886208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 385886208 is about 19643.9865607773. The cubic root of 385886208 is about 728.0363867012.

The spelling of 385886208 in words is "three hundred eighty-five million, eight hundred eighty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 347 362 384 512 543 694 724 768 1024 1041 1086 1388 1448 1536 2048 2082 2172 2776 2896 3072 4164 4344 5552 5792 6144 8328 8688 11104 11584 16656 17376 22208 23168 33312 34752 44416 46336 62807 66624 69504 88832 92672 125614 133248 139008 177664 185344 188421 251228 266496 278016 355328 370688 376842 502456 532992 556032 710656 753684 1004912 1065984 1112064 1507368 2009824 2131968 3014736 4019648 6029472 8039296 12058944 16078592 24117888 32157184 48235776 64314368 96471552 128628736 192943104 385886208