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38242530 = 2345311523
BaseRepresentation
bin1001000111100…
…0100011100010
32122221220220000
42101320203202
534242230110
63443400430
7643025154
oct221704342
978856800
1038242530
111a6501a7
1210983116
137bcc921
145116ad4
1535561c0
hex24788e2

38242530 has 80 divisors (see below), whose sum is σ = 106216704. Its totient is φ = 9862560.

The previous prime is 38242513. The next prime is 38242553. The reversal of 38242530 is 3524283.

It is a super-2 number, since 2×382425302 = 2924982201601800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 38242494 and 38242503.

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 39 ways as a sum of consecutive naturals, for example, 24349 + ... + 25871.

Almost surely, 238242530 is an apocalyptic number.

38242530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38242530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53108352).

38242530 is an abundant number, since it is smaller than the sum of its proper divisors (67974174).

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

38242530 is a wasteful number, since it uses less digits than its factorization.

38242530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38242530 is about 6184.0544952321. The cubic root of 38242530 is about 336.9112699213.

The spelling of 38242530 in words is "thirty-eight million, two hundred forty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1523 1674 2511 2790 3046 4185 4569 5022 7615 8370 9138 12555 13707 15230 22845 25110 27414 41121 45690 47213 68535 82242 94426 123363 137070 141639 205605 236065 246726 283278 411210 424917 472130 616815 708195 849834 1233630 1274751 1416390 2124585 2549502 3824253 4249170 6373755 7648506 12747510 19121265 38242530