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38213856 = 253423641
BaseRepresentation
bin1001000111000…
…1100011100000
32122220110120000
42101301203200
534240320411
63443020000
7642545442
oct221614340
978813500
1038213856
111a6306aa
121096a600
137bbc865
14510a492
15354c956
hex24718e0

38213856 has 120 divisors (see below), whose sum is σ = 117455184. Its totient is φ = 12165120.

The previous prime is 38213839. The next prime is 38213869. The reversal of 38213856 is 65831283.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38213856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59296 + ... + 59936.

Almost surely, 238213856 is an apocalyptic number.

38213856 is a gapful number since it is divisible by the number (36) 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 38213856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58727592).

38213856 is an abundant number, since it is smaller than the sum of its proper divisors (79241328).

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

38213856 is a wasteful number, since it uses less digits than its factorization.

38213856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 669 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 38213856 is about 6181.7356785938. The cubic root of 38213856 is about 336.8270442416.

The spelling of 38213856 in words is "thirty-eight million, two hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 641 648 736 828 864 1104 1242 1282 1296 1656 1863 1923 2208 2484 2564 2592 3312 3726 3846 4968 5128 5769 6624 7452 7692 9936 10256 11538 14743 14904 15384 17307 19872 20512 23076 29486 29808 30768 34614 44229 46152 51921 58972 59616 61536 69228 88458 92304 103842 117944 132687 138456 176916 184608 207684 235888 265374 276912 353832 398061 415368 471776 530748 553824 707664 796122 830736 1061496 1194183 1415328 1592244 1661472 2122992 2388366 3184488 4245984 4776732 6368976 9553464 12737952 19106928 38213856