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38052420 = 223573432
BaseRepresentation
bin1001000100101…
…0001001000100
32122121021002220
42101022021010
534220134140
63435332340
7641304000
oct221121104
978537086
1038052420
111a53038a
12108b10b0
137b64233
1450a7700
153519bd0
hex244a244

38052420 has 144 divisors (see below), whose sum is σ = 127209600. Its totient is φ = 8495424.

The previous prime is 38052403. The next prime is 38052431. The reversal of 38052420 is 2425083.

Added to its reverse (2425083) it gives a triangular number (40477503 = T8997).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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, 884919 + ... + 884961.

It is an arithmetic number, because the mean of its divisors is an integer number (883400).

Almost surely, 238052420 is an apocalyptic number.

38052420 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 38052420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63604800).

38052420 is an abundant number, since it is smaller than the sum of its proper divisors (89157180).

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

38052420 is a wasteful number, since it uses less digits than its factorization.

38052420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 38052420 is about 6168.6643611077. The cubic root of 38052420 is about 336.3520615359.

Adding to 38052420 its reverse (2425083), we get a triangular number (40477503 = T8997).

The spelling of 38052420 in words is "thirty-eight million, fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 49 60 70 84 86 98 105 129 140 147 172 196 210 215 245 258 294 301 343 420 430 490 516 588 602 645 686 735 860 903 980 1029 1204 1290 1372 1470 1505 1715 1806 1849 2058 2107 2580 2940 3010 3430 3612 3698 4116 4214 4515 5145 5547 6020 6321 6860 7396 8428 9030 9245 10290 10535 11094 12642 12943 14749 18060 18490 20580 21070 22188 25284 25886 27735 29498 31605 36980 38829 42140 44247 51772 55470 58996 63210 64715 73745 77658 88494 90601 110940 126420 129430 147490 155316 176988 181202 194145 221235 258860 271803 294980 362404 388290 442470 453005 543606 634207 776580 884940 906010 1087212 1268414 1359015 1812020 1902621 2536828 2718030 3171035 3805242 5436060 6342070 7610484 9513105 12684140 19026210 38052420