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385778136 = 23331737103
BaseRepresentation
bin10110111111101…
…000000111011000
3222212220120010010
4112333220013120
51242224400021
6102140321520
712363026412
oct2677500730
9885816103
10385778136
11188841907
12a92432a0
1361c021b3
14393419b2
1523d04976
hex16fe81d8

385778136 has 64 divisors (see below), whose sum is σ = 1009336320. Its totient is φ = 122722560.

The previous prime is 385778123. The next prime is 385778137. The reversal of 385778136 is 631877583.

It is a super-3 number, since 3×3857781363 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385778137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50761 + ... + 57863.

It is an arithmetic number, because the mean of its divisors is an integer number (15770880).

Almost surely, 2385778136 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 385778136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504668160).

385778136 is an abundant number, since it is smaller than the sum of its proper divisors (623558184).

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

385778136 is a wasteful number, since it uses less digits than its factorization.

385778136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7216 (or 7212 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 385778136 is about 19641.2356026804. The cubic root of 385778136 is about 727.9684152863.

The spelling of 385778136 in words is "three hundred eighty-five million, seven hundred seventy-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 73 93 124 146 186 219 248 292 372 438 584 744 876 1752 2263 4526 6789 7103 9052 13578 14206 18104 21309 27156 28412 42618 54312 56824 85236 170472 220193 440386 518519 660579 880772 1037038 1321158 1555557 1761544 2074076 2642316 3111114 4148152 5284632 6222228 12444456 16074089 32148178 48222267 64296356 96444534 128592712 192889068 385778136