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375985152 = 210351511
BaseRepresentation
bin10110011010010…
…001010000000000
3222012111000200000
4112122101100000
51232223011102
6101150400000
712213551424
oct2632212000
9865430600
10375985152
11183263234
12a5b00000
135cb8392a
1437d12b84
152301d01c
hex16691400

375985152 has 132 divisors (see below), whose sum is σ = 1126603296. Its totient is φ = 125245440.

The previous prime is 375985139. The next prime is 375985153. The reversal of 375985152 is 251589573.

375985152 is a `hidden beast` number, since 3 + 7 + 598 + 5 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 375985098 and 375985107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375985153) 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, 248077 + ... + 249587.

Almost surely, 2375985152 is an apocalyptic number.

375985152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563301648).

375985152 is an abundant number, since it is smaller than the sum of its proper divisors (750618144).

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

375985152 is an equidigital number, since it uses as much as digits as its factorization.

375985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1516 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 375985152 is about 19390.3365623189. The cubic root of 375985152 is about 721.7557152201.

The spelling of 375985152 in words is "three hundred seventy-five million, nine hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1511 1536 1728 1944 2304 2592 3022 3072 3456 3888 4533 4608 5184 6044 6912 7776 9066 9216 10368 12088 13599 13824 15552 18132 20736 24176 27198 27648 31104 36264 40797 41472 48352 54396 62208 72528 81594 82944 96704 108792 122391 124416 145056 163188 193408 217584 244782 248832 290112 326376 367173 386816 435168 489564 580224 652752 734346 773632 870336 979128 1160448 1305504 1468692 1547264 1740672 1958256 2320896 2611008 2937384 3481344 3916512 4641792 5222016 5874768 6962688 7833024 10444032 11749536 13925376 15666048 20888064 23499072 31332096 41776128 46998144 62664192 93996288 125328384 187992576 375985152