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4642272 = 2536199
BaseRepresentation
bin10001101101010111100000
322201212000000
4101231113200
52142023042
6243300000
754313215
oct21552740
98655000
104642272
112690898
12167a600
13c6700b
1488bb0c
1561a74c
hex46d5e0

4642272 has 84 divisors (see below), whose sum is σ = 13771800. Its totient is φ = 1539648.

The previous prime is 4642271. The next prime is 4642361. The reversal of 4642272 is 2722464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642271) 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 13 ways as a sum of consecutive naturals, for example, 23229 + ... + 23427.

It is an arithmetic number, because the mean of its divisors is an integer number (163950).

Almost surely, 24642272 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 4642272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885900).

4642272 is an abundant number, since it is smaller than the sum of its proper divisors (9129528).

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

4642272 is an equidigital number, since it uses as much as digits as its factorization.

4642272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 4642272 is about 2154.5932330721. The cubic root of 4642272 is about 166.8182372275.

The spelling of 4642272 in words is "four million, six hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 199 216 243 288 324 398 432 486 597 648 729 796 864 972 1194 1296 1458 1592 1791 1944 2388 2592 2916 3184 3582 3888 4776 5373 5832 6368 7164 7776 9552 10746 11664 14328 16119 19104 21492 23328 28656 32238 42984 48357 57312 64476 85968 96714 128952 145071 171936 193428 257904 290142 386856 515808 580284 773712 1160568 1547424 2321136 4642272