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38375424 = 21233347
BaseRepresentation
bin1001001001100…
…1000000000000
32200012200012000
42102121000000
534311003144
63450304000
7644120463
oct222310000
980180160
1038375424
111a73102a
1210a28000
137c48269
14514d2da
153580769
hex2499000

38375424 has 104 divisors (see below), whose sum is σ = 114018720. Its totient is φ = 12754944.

The previous prime is 38375423. The next prime is 38375437. The reversal of 38375424 is 42457383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38375423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110419 + ... + 110765.

Almost surely, 238375424 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 38375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57009360).

38375424 is an abundant number, since it is smaller than the sum of its proper divisors (75643296).

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

38375424 is an equidigital number, since it uses as much as digits as its factorization.

38375424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 352 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 38375424 is about 6194.7900690822. The cubic root of 38375424 is about 337.3010778402.

It can be divided in two parts, 3837 and 5424, that added together give a cube (9261 = 213).

The spelling of 38375424 in words is "thirty-eight million, three hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 347 384 432 512 576 694 768 864 1024 1041 1152 1388 1536 1728 2048 2082 2304 2776 3072 3123 3456 4096 4164 4608 5552 6144 6246 6912 8328 9216 9369 11104 12288 12492 13824 16656 18432 18738 22208 24984 27648 33312 36864 37476 44416 49968 55296 66624 74952 88832 99936 110592 133248 149904 177664 199872 266496 299808 355328 399744 532992 599616 710656 799488 1065984 1199232 1421312 1598976 2131968 2398464 3197952 4263936 4796928 6395904 9593856 12791808 19187712 38375424