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38994900 = 22352731599
BaseRepresentation
bin1001010011000…
…0001111010100
32201101010221120
42110300033110
534440314100
63511443540
7652310520
oct224601724
981333846
1038994900
112001449a
12110865b0
138104209
145270d80
1536540a0
hex25303d4

38994900 has 144 divisors (see below), whose sum is σ = 133324800. Its totient is φ = 8611200.

The previous prime is 38994899. The next prime is 38994919. The reversal of 38994900 is 949983.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64801 + ... + 65399.

Almost surely, 238994900 is an apocalyptic number.

38994900 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 38994900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66662400).

38994900 is an abundant number, since it is smaller than the sum of its proper divisors (94329900).

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

38994900 is a wasteful number, since it uses less digits than its factorization.

38994900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 38994900 is about 6244.5896582562. The cubic root of 38994900 is about 339.1063614533.

The spelling of 38994900 in words is "thirty-eight million, nine hundred ninety-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 599 620 651 700 775 868 930 1050 1085 1198 1302 1550 1797 1860 2100 2170 2325 2396 2604 2995 3100 3255 3594 4193 4340 4650 5425 5990 6510 7188 8386 8985 9300 10850 11980 12579 13020 14975 16275 16772 17970 18569 20965 21700 25158 29950 32550 35940 37138 41930 44925 50316 55707 59900 62895 65100 74276 83860 89850 92845 104825 111414 125790 129983 179700 185690 209650 222828 251580 259966 278535 314475 371380 389949 419300 464225 519932 557070 628950 649915 779898 928450 1114140 1257900 1299830 1392675 1559796 1856900 1949745 2599660 2785350 3249575 3899490 5570700 6499150 7798980 9748725 12998300 19497450 38994900