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4938384 = 2431147199
BaseRepresentation
bin10010110101101010010000
3100021220012010
4102311222100
52231012014
6253502520
756655423
oct22655220
910256163
104938384
112873310
1217a1a40
13103ba29
149279ba
15678359
hex4b5a90

4938384 has 80 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 1457280.

The previous prime is 4938383. The next prime is 4938389. The reversal of 4938384 is 4838394.

It is not an unprimeable number, because it can be changed into a prime (4938383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24717 + ... + 24915.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 24938384 is an apocalyptic number.

4938384 is a gapful number since it is divisible by the number (44) 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 4938384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

4938384 is an abundant number, since it is smaller than the sum of its proper divisors (9346416).

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

4938384 is a wasteful number, since it uses less digits than its factorization.

4938384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 4938384 is about 2222.2475109672. The cubic root of 4938384 is about 170.2922769075.

The spelling of 4938384 in words is "four million, nine hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 199 264 282 376 398 517 528 564 597 752 796 1034 1128 1194 1551 1592 2068 2189 2256 2388 3102 3184 4136 4378 4776 6204 6567 8272 8756 9353 9552 12408 13134 17512 18706 24816 26268 28059 35024 37412 52536 56118 74824 102883 105072 112236 149648 205766 224472 308649 411532 448944 617298 823064 1234596 1646128 2469192 4938384