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38375700 = 223521129401
BaseRepresentation
bin1001001001100…
…1000100010100
32200012200120020
42102121010110
534311010300
63450305140
7644121336
oct222310424
980180506
1038375700
111a731260
1210a281b0
137c4841c
14514d456
1535808a0
hex2499114

38375700 has 144 divisors (see below), whose sum is σ = 125616960. Its totient is φ = 8960000.

The previous prime is 38375699. The next prime is 38375719. The reversal of 38375700 is 757383.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95500 + ... + 95900.

It is an arithmetic number, because the mean of its divisors is an integer number (872340).

Almost surely, 238375700 is an apocalyptic number.

38375700 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 38375700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62808480).

38375700 is an abundant number, since it is smaller than the sum of its proper divisors (87241260).

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

38375700 is a wasteful number, since it uses less digits than its factorization.

38375700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 38375700 is about 6194.8123458261. The cubic root of 38375700 is about 337.3018864730.

The spelling of 38375700 in words is "thirty-eight million, three hundred seventy-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 401 435 550 580 638 660 725 802 825 870 957 1100 1203 1276 1450 1595 1604 1650 1740 1914 2005 2175 2406 2900 3190 3300 3828 4010 4350 4411 4785 4812 6015 6380 7975 8020 8700 8822 9570 10025 11629 12030 13233 15950 17644 19140 20050 22055 23258 23925 24060 26466 30075 31900 34887 40100 44110 46516 47850 52932 58145 60150 66165 69774 88220 95700 110275 116290 120300 127919 132330 139548 174435 220550 232580 255838 264660 290725 330825 348870 383757 441100 511676 581450 639595 661650 697740 767514 872175 1162900 1279190 1323300 1535028 1744350 1918785 2558380 3197975 3488700 3837570 6395950 7675140 9593925 12791900 19187850 38375700