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38134272 = 293113761
BaseRepresentation
bin1001000101111…
…0001000000000
32122202102101110
42101132020000
534230244042
63441203320
7642064431
oct221361000
978672343
1038134272
111a586930
1210930540
137b92577
1450c9488
15353409c
hex245e200

38134272 has 160 divisors (see below), whose sum is σ = 115689024. Its totient is φ = 11059200.

The previous prime is 38134193. The next prime is 38134277. The reversal of 38134272 is 27243183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38134277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625122 + ... + 625182.

Almost surely, 238134272 is an apocalyptic number.

38134272 is a gapful number since it is divisible by the number (32) 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 38134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57844512).

38134272 is an abundant number, since it is smaller than the sum of its proper divisors (77554752).

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

38134272 is a wasteful number, since it uses less digits than its factorization.

38134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 38134272 is about 6175.2952965830. The cubic root of 38134272 is about 336.5930569172.

The spelling of 38134272 in words is "thirty-eight million, one hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 61 64 66 74 88 96 111 122 128 132 148 176 183 192 222 244 256 264 296 352 366 384 407 444 488 512 528 592 671 704 732 768 814 888 976 1056 1184 1221 1342 1408 1464 1536 1628 1776 1952 2013 2112 2257 2368 2442 2684 2816 2928 3256 3552 3904 4026 4224 4514 4736 4884 5368 5632 5856 6512 6771 7104 7808 8052 8448 9028 9472 9768 10736 11712 13024 13542 14208 15616 16104 16896 18056 18944 19536 21472 23424 24827 26048 27084 28416 31232 32208 36112 39072 42944 46848 49654 52096 54168 56832 64416 72224 74481 78144 85888 93696 99308 104192 108336 128832 144448 148962 156288 171776 198616 208384 216672 257664 288896 297924 312576 343552 397232 433344 515328 577792 595848 625152 794464 866688 1030656 1155584 1191696 1588928 1733376 2383392 3177856 3466752 4766784 6355712 9533568 12711424 19067136 38134272