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38969760 = 2535194273
BaseRepresentation
bin1001010010101…
…0000110100000
32201022212110110
42110222012200
534434013020
63511131320
7652144314
oct224520640
981285413
1038969760
111aaa7615
1211073b40
1380c593b
145265b44
15364b8e0
hex252a1a0

38969760 has 96 divisors (see below), whose sum is σ = 129245760. Its totient is φ = 9842688.

The previous prime is 38969753. The next prime is 38969783. The reversal of 38969760 is 6796983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6984 + ... + 11256.

It is an arithmetic number, because the mean of its divisors is an integer number (1346310).

Almost surely, 238969760 is an apocalyptic number.

38969760 is a gapful number since it is divisible by the number (30) 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 38969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64622880).

38969760 is an abundant number, since it is smaller than the sum of its proper divisors (90276000).

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

38969760 is a wasteful number, since it uses less digits than its factorization.

38969760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 38969760 is about 6242.5763912026. The cubic root of 38969760 is about 339.0334718649.

The spelling of 38969760 in words is "thirty-eight million, nine hundred sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4273 4560 8546 9120 12819 17092 21365 25638 34184 42730 51276 64095 68368 81187 85460 102552 128190 136736 162374 170920 205104 243561 256380 324748 341840 405935 410208 487122 512760 649496 683680 811870 974244 1025520 1217805 1298992 1623740 1948488 2051040 2435610 2597984 3247480 3896976 4871220 6494960 7793952 9742440 12989920 19484880 38969760