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38998620 = 223252931241
BaseRepresentation
bin1001010011000…
…1001001011100
32201101100001100
42110301021130
534440423440
63511513100
7652324413
oct224611134
981340040
1038998620
1120017271
1211088790
138105b0b
14527247a
153655230
hex253125c

38998620 has 144 divisors (see below), whose sum is σ = 126846720. Its totient is φ = 9676800.

The previous prime is 38998607. The next prime is 38998633. The reversal of 38998620 is 2689983.

It is an interprime number because it is at equal distance from previous prime (38998607) and next prime (38998633).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 161700 + ... + 161940.

It is an arithmetic number, because the mean of its divisors is an integer number (880880).

Almost surely, 238998620 is an apocalyptic number.

38998620 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 38998620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63423360).

38998620 is an abundant number, since it is smaller than the sum of its proper divisors (87848100).

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

38998620 is a wasteful number, since it uses less digits than its factorization.

38998620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 38998620 is about 6244.8875089949. The cubic root of 38998620 is about 339.1171443638.

The spelling of 38998620 in words is "thirty-eight million, nine hundred ninety-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 31 36 45 58 60 62 87 90 93 116 124 145 155 174 180 186 241 261 279 290 310 348 372 435 465 482 522 558 580 620 723 870 899 930 964 1044 1116 1205 1305 1395 1446 1740 1798 1860 2169 2410 2610 2697 2790 2892 3596 3615 4338 4495 4820 5220 5394 5580 6989 7230 7471 8091 8676 8990 10788 10845 13485 13978 14460 14942 16182 17980 20967 21690 22413 26970 27956 29884 32364 34945 37355 40455 41934 43380 44826 53940 62901 67239 69890 74710 80910 83868 89652 104835 112065 125802 134478 139780 149420 161820 209670 216659 224130 251604 268956 314505 336195 419340 433318 448260 629010 649977 672390 866636 1083295 1258020 1299954 1344780 1949931 2166590 2599908 3249885 3899862 4333180 6499770 7799724 9749655 12999540 19499310 38998620