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385777728 = 2634710631
BaseRepresentation
bin10110111111101…
…000000001000000
3222212220112120000
4112333220001000
51242224341403
6102140320000
712363025260
oct2677500100
9885815500
10385777728
11188841576
12a9243000
1361c01c5b
14393417a0
1523d047a3
hex16fe8040

385777728 has 140 divisors (see below), whose sum is σ = 1307055552. Its totient is φ = 110211840.

The previous prime is 385777727. The next prime is 385777741. The reversal of 385777728 is 827777583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385777723) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30973 + ... + 41603.

Almost surely, 2385777728 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 385777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653527776).

385777728 is an abundant number, since it is smaller than the sum of its proper divisors (921277824).

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

385777728 is a wasteful number, since it uses less digits than its factorization.

385777728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10662 (or 10643 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 54.

The square root of 385777728 is about 19641.2252163657. The cubic root of 385777728 is about 727.9681586524.

The spelling of 385777728 in words is "three hundred eighty-five million, seven hundred seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 10631 12096 18144 21262 31893 36288 42524 63786 74417 85048 95679 127572 148834 170096 191358 223251 255144 287037 297668 340192 382716 446502 510288 574074 595336 669753 680384 765432 861111 893004 1020576 1148148 1190672 1339506 1530864 1722222 1786008 2009259 2041152 2296296 2381344 2679012 3061728 3444444 3572016 4018518 4592592 4762688 5358024 6027777 6123456 6888888 7144032 8037036 9185184 10716048 12055554 13777776 14288064 16074072 18370368 21432096 24111108 27555552 32148144 42864192 48222216 55111104 64296288 96444432 128592576 192888864 385777728