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3825526272 = 29319472789
BaseRepresentation
bin1110010000000100…
…1110011000000000
3100212121101212111020
43210001032120000
530313313320042
61431334145440
7163541302551
oct34401163000
910777355436
103825526272
111693456567
128a91b2280
1348c734019
142840d8328
15175cae3ec
hexe404e600

3825526272 has 160 divisors (see below), whose sum is σ = 10960012800. Its totient is φ = 1181933568.

The previous prime is 3825526259. The next prime is 3825526283. The reversal of 3825526272 is 2726255283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1370254 + ... + 1373042.

It is an arithmetic number, because the mean of its divisors is an integer number (68500080).

Almost surely, 23825526272 is an apocalyptic number.

3825526272 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 3825526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480006400).

3825526272 is an abundant number, since it is smaller than the sum of its proper divisors (7134486528).

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

3825526272 is a wasteful number, since it uses less digits than its factorization.

3825526272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2860 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 3825526272 is about 61850.8388948768. The cubic root of 3825526272 is about 1563.9771234850.

The spelling of 3825526272 in words is "three billion, eight hundred twenty-five million, five hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 76 94 96 114 128 141 152 188 192 228 256 282 304 376 384 456 512 564 608 752 768 893 912 1128 1216 1504 1536 1786 1824 2256 2432 2679 2789 3008 3572 3648 4512 4864 5358 5578 6016 7144 7296 8367 9024 9728 10716 11156 12032 14288 14592 16734 18048 21432 22312 24064 28576 29184 33468 36096 42864 44624 52991 57152 66936 72192 85728 89248 105982 114304 131083 133872 158973 171456 178496 211964 228608 262166 267744 317946 342912 356992 393249 423928 457216 524332 535488 635892 685824 713984 786498 847856 1048664 1070976 1271784 1371648 1427968 1572996 1695712 2097328 2141952 2490577 2543568 3145992 3391424 4194656 4283904 4981154 5087136 6291984 6782848 7471731 8389312 9962308 10174272 12583968 13565696 14943462 16778624 19924616 20348544 25167936 27131392 29886924 33557248 39849232 40697088 50335872 59773848 67114496 79698464 81394176 100671744 119547696 159396928 201343488 239095392 318793856 478190784 637587712 956381568 1275175424 1912763136 3825526272