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38052936 = 23331743241
BaseRepresentation
bin1001000100101…
…0010001001000
32122121021211000
42101022101020
534220143221
63435335000
7641305335
oct221122110
978537730
1038052936
111a530809
12108b1460
137b6453c
1450a798c
153519e26
hex244a448

38052936 has 128 divisors (see below), whose sum is σ = 114998400. Its totient is φ = 11612160.

The previous prime is 38052899. The next prime is 38052941. The reversal of 38052936 is 63925083.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38052936.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157776 + ... + 158016.

It is an arithmetic number, because the mean of its divisors is an integer number (898425).

Almost surely, 238052936 is an apocalyptic number.

38052936 is a gapful number since it is divisible by the number (36) 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 38052936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57499200).

38052936 is an abundant number, since it is smaller than the sum of its proper divisors (76945464).

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

38052936 is a wasteful number, since it uses less digits than its factorization.

38052936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 38052936 is about 6168.7061852547. The cubic root of 38052936 is about 336.3535818674.

The spelling of 38052936 in words is "thirty-eight million, fifty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 43 51 54 68 72 86 102 108 129 136 153 172 204 216 241 258 306 344 387 408 459 482 516 612 723 731 774 918 964 1032 1161 1224 1446 1462 1548 1836 1928 2169 2193 2322 2892 2924 3096 3672 4097 4338 4386 4644 5784 5848 6507 6579 8194 8676 8772 9288 10363 12291 13014 13158 16388 17352 17544 19737 20726 24582 26028 26316 31089 32776 36873 39474 41452 49164 52056 52632 62178 73746 78948 82904 93267 98328 110619 124356 147492 157896 176171 186534 221238 248712 279801 294984 352342 373068 442476 528513 559602 704684 746136 884952 1057026 1119204 1409368 1585539 2114052 2238408 3171078 4228104 4756617 6342156 9513234 12684312 19026468 38052936