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3542172040 = 2351123418537
BaseRepresentation
bin1101001100100001…
…0100000110001000
3100010212012222120001
43103020110012020
524223244001130
61343253012344
7153530652121
oct32310240610
910125188501
103542172040
111558511310
1282a3240b4
13445b139b4
14258619048
1515ae8c6ca
hexd3214188

3542172040 has 128 divisors (see below), whose sum is σ = 9294808320. Its totient is φ = 1201868800.

The previous prime is 3542172001. The next prime is 3542172041. The reversal of 3542172040 is 402712453.

It is a super-3 number, since 3×35421720403 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3542172041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410652 + ... + 419188.

It is an arithmetic number, because the mean of its divisors is an integer number (72615690).

Almost surely, 23542172040 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 3542172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647404160).

3542172040 is an abundant number, since it is smaller than the sum of its proper divisors (5752636280).

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

3542172040 is a wasteful number, since it uses less digits than its factorization.

3542172040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623 (or 8619 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 3542172040 is about 59516.1494050144. The cubic root of 3542172040 is about 1524.3682112850.

Adding to 3542172040 its reverse (402712453), we get a palindrome (3944884493).

The spelling of 3542172040 in words is "three billion, five hundred forty-two million, one hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 41 44 46 55 82 88 92 110 115 164 184 205 220 230 253 328 410 440 451 460 506 820 902 920 943 1012 1265 1640 1804 1886 2024 2255 2530 3608 3772 4510 4715 5060 7544 8537 9020 9430 10120 10373 17074 18040 18860 20746 34148 37720 41492 42685 51865 68296 82984 85370 93907 103730 170740 187814 196351 207460 341480 350017 375628 392702 414920 469535 700034 751256 785404 939070 981755 1400068 1570808 1750085 1878140 1963510 2159861 2800136 3500170 3756280 3850187 3927020 4319722 7000340 7700374 7854040 8050391 8639444 10799305 14000680 15400748 16100782 17278888 19250935 21598610 30801496 32201564 38501870 40251955 43197220 64403128 77003740 80503910 86394440 88554301 154007480 161007820 177108602 322015640 354217204 442771505 708434408 885543010 1771086020 3542172040