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4628988 = 2234713157
BaseRepresentation
bin10001101010000111111100
322201011210000
4101222013330
52141111423
6243114300
754226410
oct21520774
98634700
104628988
112681911
121672990
13c60c60
14886d40
15616843
hex46a1fc

4628988 has 120 divisors (see below), whose sum is σ = 14988512. Its totient is φ = 1213056.

The previous prime is 4628977. The next prime is 4628999. The reversal of 4628988 is 8898264.

It is a happy number.

4628988 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4628977) and next prime (4628999).

It is a super-3 number, since 3×46289883 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29406 + ... + 29562.

Almost surely, 24628988 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 4628988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7494256).

4628988 is an abundant number, since it is smaller than the sum of its proper divisors (10359524).

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

4628988 is a wasteful number, since it uses less digits than its factorization.

4628988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 4628988 is about 2151.5083081411. The cubic root of 4628988 is about 166.6589667554.

The spelling of 4628988 in words is "four million, six hundred twenty-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 157 162 182 189 234 252 273 314 324 351 364 378 468 471 546 567 628 702 756 819 942 1053 1092 1099 1134 1404 1413 1638 1884 2041 2106 2198 2268 2457 2826 3276 3297 4082 4212 4239 4396 4914 5652 6123 6594 7371 8164 8478 9828 9891 12246 12717 13188 14287 14742 16956 18369 19782 24492 25434 28574 29484 29673 36738 39564 42861 50868 55107 57148 59346 73476 85722 89019 110214 118692 128583 165321 171444 178038 220428 257166 330642 356076 385749 514332 661284 771498 1157247 1542996 2314494 4628988