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4946172 = 22371153101
BaseRepresentation
bin10010110111100011111100
3100022021212120
4102313203330
52231234142
6254002540
760020220
oct22674374
910267776
104946172
112879150
1217a6450
13104243a
1492a780
1567a7ec
hex4b78fc

4946172 has 96 divisors (see below), whose sum is σ = 14805504. Its totient is φ = 1248000.

The previous prime is 4946131. The next prime is 4946177. The reversal of 4946172 is 2716494.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4946177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48922 + ... + 49022.

It is an arithmetic number, because the mean of its divisors is an integer number (154224).

Almost surely, 24946172 is an apocalyptic number.

4946172 is a gapful number since it is divisible by the number (42) 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 4946172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752).

4946172 is an abundant number, since it is smaller than the sum of its proper divisors (9859332).

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

4946172 is a wasteful number, since it uses less digits than its factorization.

4946172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 4946172 is about 2223.9991007192. Note that the first 3 decimals coincide. The cubic root of 4946172 is about 170.3817488001.

It can be divided in two parts, 494 and 6172, that added together give a palindrome (6666).

The spelling of 4946172 in words is "four million, nine hundred forty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 53 66 77 84 101 106 132 154 159 202 212 231 303 308 318 371 404 462 583 606 636 707 742 924 1111 1113 1166 1212 1414 1484 1749 2121 2222 2226 2332 2828 3333 3498 4081 4242 4444 4452 5353 6666 6996 7777 8162 8484 10706 12243 13332 15554 16059 16324 21412 23331 24486 31108 32118 37471 46662 48972 58883 64236 74942 93324 112413 117766 149884 176649 224826 235532 353298 412181 449652 706596 824362 1236543 1648724 2473086 4946172