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4642240 = 26589163
BaseRepresentation
bin10001101101010111000000
322201211221211
4101231113000
52142022430
6243255504
754313141
oct21552700
98654854
104642240
112690869
12167a594
13c66cb5
1488bac8
1561a72a
hex46d5c0

4642240 has 56 divisors (see below), whose sum is σ = 11247120. Its totient is φ = 1824768.

The previous prime is 4642223. The next prime is 4642259. The reversal of 4642240 is 422464.

It is a d-powerful number, because it can be written as 43 + 67 + 46 + 215 + 217 + 411 + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28399 + ... + 28561.

Almost surely, 24642240 is an apocalyptic number.

4642240 is a gapful number since it is divisible by the number (40) 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 4642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623560).

4642240 is an abundant number, since it is smaller than the sum of its proper divisors (6604880).

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

4642240 is a wasteful number, since it uses less digits than its factorization.

4642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4642240 is about 2154.5858070636. The cubic root of 4642240 is about 166.8178539241.

It can be divided in two parts, 464 and 2240, that added together give a square (2704 = 522).

The spelling of 4642240 in words is "four million, six hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 163 178 320 326 356 445 652 712 815 890 1304 1424 1630 1780 2608 2848 3260 3560 5216 5696 6520 7120 10432 13040 14240 14507 26080 28480 29014 52160 58028 72535 116056 145070 232112 290140 464224 580280 928448 1160560 2321120 4642240