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3742550080 = 265196110091
BaseRepresentation
bin1101111100010010…
…1100100001000000
3100122211021020112221
43133010230201000
530131043100310
61415211500424
7161513102503
oct33704544100
910584236487
103742550080
1116506322a5
12885457714
134784a1099
1427709913a
1516d86dada
hexdf12c840

3742550080 has 112 divisors (see below), whose sum is σ = 9535728960. Its totient is φ = 1394841600.

The previous prime is 3742550059. The next prime is 3742550081. The reversal of 3742550080 is 800552473.

It is a happy number.

It is a super-2 number, since 2×37425500802 = 28013362202616012800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3742550081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365835 + ... + 375925.

Almost surely, 23742550080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767864480).

3742550080 is an abundant number, since it is smaller than the sum of its proper divisors (5793178880).

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

3742550080 is a wasteful number, since it uses less digits than its factorization.

3742550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 3742550080 is about 61176.3849863654. The cubic root of 3742550080 is about 1552.5867427588.

The spelling of 3742550080 in words is "three billion, seven hundred forty-two million, five hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 61 64 76 80 95 122 152 160 190 244 304 305 320 380 488 608 610 760 976 1159 1216 1220 1520 1952 2318 2440 3040 3904 4636 4880 5795 6080 9272 9760 10091 11590 18544 19520 20182 23180 37088 40364 46360 50455 74176 80728 92720 100910 161456 185440 191729 201820 322912 370880 383458 403640 615551 645824 766916 807280 958645 1231102 1533832 1614560 1917290 2462204 3067664 3077755 3229120 3834580 4924408 6135328 6155510 7669160 9848816 11695469 12270656 12311020 15338320 19697632 23390938 24622040 30676640 39395264 46781876 49244080 58477345 61353280 93563752 98488160 116954690 187127504 196976320 233909380 374255008 467818760 748510016 935637520 1871275040 3742550080