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38484992 = 210721359
BaseRepresentation
bin1001001011001…
…1110000000000
32200102020111002
42102303300000
534323004432
63452511132
7645055100
oct222636000
980366432
1038484992
111a7a6387
1210a7b4a8
137c860b0
14517b200
1535a2e62
hex24b3c00

38484992 has 132 divisors (see below), whose sum is σ = 98010360. Its totient is φ = 14966784.

The previous prime is 38484977. The next prime is 38485009. The reversal of 38484992 is 29948483.

Its product of digits (497664) is a multiple of the sum of its prime divisors (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652259 + ... + 652317.

Almost surely, 238484992 is an apocalyptic number.

38484992 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 38484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49005180).

38484992 is an abundant number, since it is smaller than the sum of its proper divisors (59525368).

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

38484992 is a wasteful number, since it uses less digits than its factorization.

38484992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 38484992 is about 6203.6273260086. The cubic root of 38484992 is about 337.6217890596.

The spelling of 38484992 in words is "thirty-eight million, four hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 59 64 91 98 104 112 118 128 182 196 208 224 236 256 364 392 413 416 448 472 512 637 728 767 784 826 832 896 944 1024 1274 1456 1534 1568 1652 1664 1792 1888 2548 2891 2912 3068 3136 3304 3328 3584 3776 5096 5369 5782 5824 6136 6272 6608 6656 7168 7552 10192 10738 11564 11648 12272 12544 13216 13312 15104 20384 21476 23128 23296 24544 25088 26432 30208 37583 40768 42952 46256 46592 49088 50176 52864 60416 75166 81536 85904 92512 93184 98176 105728 150332 163072 171808 185024 196352 211456 300664 326144 343616 370048 392704 422912 601328 652288 687232 740096 785408 1202656 1374464 1480192 2405312 2748928 2960384 4810624 5497856 9621248 19242496 38484992