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4661272 = 2372112347
BaseRepresentation
bin10001110010000000011000
322202211001201
4101302000120
52143130042
6243523544
754422500
oct21620030
98684051
104661272
1126a40a0
1216895b4
13c72865
14894a00
156211b7
hex472018

4661272 has 96 divisors (see below), whose sum is σ = 11819520. Its totient is φ = 1700160.

The previous prime is 4661263. The next prime is 4661291. The reversal of 4661272 is 2721664.

4661272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4661272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99153 + ... + 99199.

It is an arithmetic number, because the mean of its divisors is an integer number (123120).

Almost surely, 24661272 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 4661272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909760).

4661272 is an abundant number, since it is smaller than the sum of its proper divisors (7158248).

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

4661272 is a wasteful number, since it uses less digits than its factorization.

4661272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 4661272 is about 2158.9979157007. The cubic root of 4661272 is about 167.0455133099.

The spelling of 4661272 in words is "four million, six hundred sixty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 47 49 56 77 88 92 94 98 154 161 184 188 196 253 308 322 329 376 392 506 517 539 616 644 658 1012 1034 1078 1081 1127 1288 1316 1771 2024 2068 2156 2162 2254 2303 2632 3542 3619 4136 4312 4324 4508 4606 7084 7238 7567 8648 9016 9212 11891 12397 14168 14476 15134 18424 23782 24794 25333 28952 30268 47564 49588 50666 52969 60536 83237 95128 99176 101332 105938 166474 202664 211876 332948 423752 582659 665896 1165318 2330636 4661272