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38717028 = 2234743397
BaseRepresentation
bin1001001110110…
…0011001100100
32200212000210000
42103230121210
534402421103
63501501300
7650042430
oct223543144
980760700
1038717028
111a944749
1210b71830
1380378ac
1451db9c0
1535ebaa3
hex24ec664

38717028 has 120 divisors (see below), whose sum is σ = 118661312. Its totient is φ = 10777536.

The previous prime is 38717011. The next prime is 38717051. The reversal of 38717028 is 82071783.

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

It is a junction number, because it is equal to n+sod(n) for n = 38716983 and 38717001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97326 + ... + 97722.

Almost surely, 238717028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38717028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59330656).

38717028 is an abundant number, since it is smaller than the sum of its proper divisors (79944284).

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

38717028 is a wasteful number, since it uses less digits than its factorization.

38717028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 38717028 is about 6222.3008606142. The cubic root of 38717028 is about 338.2989663675.

The spelling of 38717028 in words is "thirty-eight million, seven hundred seventeen thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 81 84 86 108 126 129 162 172 189 252 258 301 324 378 387 397 516 567 602 756 774 794 903 1134 1161 1191 1204 1548 1588 1806 2268 2322 2382 2709 2779 3483 3573 3612 4644 4764 5418 5558 6966 7146 8127 8337 10719 10836 11116 13932 14292 16254 16674 17071 21438 24381 25011 32157 32508 33348 34142 42876 48762 50022 51213 64314 68284 75033 97524 100044 102426 119497 128628 150066 153639 204852 225099 238994 300132 307278 358491 450198 460917 477988 614556 716982 900396 921834 1075473 1382751 1433964 1843668 2150946 2765502 3226419 4301892 5531004 6452838 9679257 12905676 19358514 38717028