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38867920 = 24571319281
BaseRepresentation
bin1001010001000…
…1001111010000
32201010200202121
42110101033100
534422233140
63505024024
7651241360
oct224211720
981120677
1038867920
111aa38053
1211025014
13808b490
14523a9a0
15362b64a
hex25113d0

38867920 has 160 divisors (see below), whose sum is σ = 117492480. Its totient is φ = 11612160.

The previous prime is 38867897. The next prime is 38867923. The reversal of 38867920 is 2976883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38867923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138180 + ... + 138460.

It is an arithmetic number, because the mean of its divisors is an integer number (734328).

Almost surely, 238867920 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 38867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58746240).

38867920 is an abundant number, since it is smaller than the sum of its proper divisors (78624560).

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

38867920 is a wasteful number, since it uses less digits than its factorization.

38867920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 38867920 is about 6234.4141665436. The cubic root of 38867920 is about 338.7378812220.

The spelling of 38867920 in words is "thirty-eight million, eight hundred sixty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 104 112 130 133 140 152 182 190 208 247 260 266 280 281 304 364 380 455 494 520 532 560 562 665 728 760 910 988 1040 1064 1124 1235 1330 1405 1456 1520 1729 1820 1967 1976 2128 2248 2470 2660 2810 3458 3640 3653 3934 3952 4496 4940 5320 5339 5620 6916 7280 7306 7868 8645 9835 9880 10640 10678 11240 13832 14612 15736 17290 18265 19670 19760 21356 22480 25571 26695 27664 29224 31472 34580 36530 37373 39340 42712 51142 53390 58448 69160 69407 73060 74746 78680 85424 102284 106780 127855 138320 138814 146120 149492 157360 186865 204568 213560 255710 277628 292240 298984 347035 373730 409136 427120 485849 511420 555256 597968 694070 747460 971698 1022840 1110512 1388140 1494920 1943396 2045680 2429245 2776280 2989840 3886792 4858490 5552560 7773584 9716980 19433960 38867920