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2970475242 = 237315938669
BaseRepresentation
bin1011000100001101…
…1101101011101010
321200000110202222120
42301003131223222
522040420201432
61210431332110
7133416423450
oct26103355352
97600422876
102970475242
111294835019
126aa981036
13384547977
1420271c9d0
15125bb0c2c
hexb10ddaea

2970475242 has 64 divisors (see below), whose sum is σ = 7127654400. Its totient is φ = 807387840.

The previous prime is 2970475241. The next prime is 2970475253. The reversal of 2970475242 is 2425740792.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2970475194 and 2970475203.

It is not an unprimeable number, because it can be changed into a prime (2970475241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57484 + ... + 96152.

It is an arithmetic number, because the mean of its divisors is an integer number (111369600).

Almost surely, 22970475242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2970475242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563827200).

2970475242 is an abundant number, since it is smaller than the sum of its proper divisors (4157179158).

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

2970475242 is a wasteful number, since it uses less digits than its factorization.

2970475242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38771.

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 2970475242 is about 54502.0664011925. The cubic root of 2970475242 is about 1437.5026225233.

The spelling of 2970475242 in words is "two billion, nine hundred seventy million, four hundred seventy-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 59 62 93 118 177 186 217 354 413 434 651 826 1239 1302 1829 2478 3658 5487 10974 12803 25606 38409 38669 76818 77338 116007 232014 270683 541366 812049 1198739 1624098 2281471 2397478 3596217 4562942 6844413 7192434 8391173 13688826 15970297 16782346 25173519 31940594 47910891 50347038 70725601 95821782 141451202 212176803 424353606 495079207 990158414 1485237621 2970475242