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4927440 = 243572419
BaseRepresentation
bin10010110010111111010000
3100021100011210
4102302333100
52230134230
6253340120
756611500
oct22627720
910240153
104927440
112866071
121797640
131036a5b
14923a00
15674eb0
hex4b2fd0

4927440 has 120 divisors (see below), whose sum is σ = 17811360. Its totient is φ = 1123584.

The previous prime is 4927423. The next prime is 4927453. The reversal of 4927440 is 447294.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4927398 and 4927407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11551 + ... + 11969.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 24927440 is an apocalyptic number.

4927440 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 4927440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

4927440 is an abundant number, since it is smaller than the sum of its proper divisors (12883920).

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

4927440 is a wasteful number, since it uses less digits than its factorization.

4927440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4927440 is about 2219.7837732536. The cubic root of 4927440 is about 170.1663884197.

The spelling of 4927440 in words is "four million, nine hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 419 420 490 560 588 735 784 838 840 980 1176 1257 1470 1676 1680 1960 2095 2352 2514 2933 2940 3352 3920 4190 5028 5866 5880 6285 6704 8380 8799 10056 11732 11760 12570 14665 16760 17598 20112 20531 23464 25140 29330 33520 35196 41062 43995 46928 50280 58660 61593 70392 82124 87990 100560 102655 117320 123186 140784 164248 175980 205310 234640 246372 307965 328496 351960 410620 492744 615930 703920 821240 985488 1231860 1642480 2463720 4927440