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4990272 = 26374779
BaseRepresentation
bin10011000010010101000000
3100101112100220
4103002111000
52234142042
6254543040
760262620
oct23022500
910345326
104990272
1128a92a1
121807a80
131059531
1493c880
156888ec
hex4c2540

4990272 has 112 divisors (see below), whose sum is σ = 15605760. Its totient is φ = 1377792.

The previous prime is 4990267. The next prime is 4990273. The reversal of 4990272 is 2720994.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4990273) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 63129 + ... + 63207.

Almost surely, 24990272 is an apocalyptic number.

4990272 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 4990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802880).

4990272 is an abundant number, since it is smaller than the sum of its proper divisors (10615488).

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

4990272 is a wasteful number, since it uses less digits than its factorization.

4990272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4990272 is about 2233.8916715007. The cubic root of 4990272 is about 170.8866250290.

The spelling of 4990272 in words is "four million, nine hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 79 84 94 96 112 141 158 168 188 192 224 237 282 316 329 336 376 448 474 553 564 632 658 672 752 948 987 1106 1128 1264 1316 1344 1504 1659 1896 1974 2212 2256 2528 2632 3008 3318 3713 3792 3948 4424 4512 5056 5264 6636 7426 7584 7896 8848 9024 10528 11139 13272 14852 15168 15792 17696 21056 22278 25991 26544 29704 31584 35392 44556 51982 53088 59408 63168 77973 89112 103964 106176 118816 155946 178224 207928 237632 311892 356448 415856 623784 712896 831712 1247568 1663424 2495136 4990272