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4829553240 = 2335312415387
BaseRepresentation
bin1000111111101110…
…10010001001011000
3110110120122201120020
410133313102021120
534342331200430
62115122030440
7230452345101
oct43767221130
913416581506
104829553240
11205917a916
12b294a8420
135bc751115
1433b5b33a8
151d3ed8b10
hex11fdd2258

4829553240 has 128 divisors (see below), whose sum is σ = 15020881920. Its totient is φ = 1240934400.

The previous prime is 4829553191. The next prime is 4829553269. The reversal of 4829553240 is 423559284.

It is a junction number, because it is equal to n+sod(n) for n = 4829553192 and 4829553201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893827 + ... + 899213.

It is an arithmetic number, because the mean of its divisors is an integer number (117350640).

Almost surely, 24829553240 is an apocalyptic number.

4829553240 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 4829553240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510440960).

4829553240 is an abundant number, since it is smaller than the sum of its proper divisors (10191328680).

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

4829553240 is a wasteful number, since it uses less digits than its factorization.

4829553240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 4829553240 is about 69494.9871573483. The cubic root of 4829553240 is about 1690.3202175569.

The spelling of 4829553240 in words is "four billion, eight hundred twenty-nine million, five hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 241 248 310 372 465 482 620 723 744 930 964 1205 1240 1446 1860 1928 2410 2892 3615 3720 4820 5387 5784 7230 7471 9640 10774 14460 14942 16161 21548 22413 26935 28920 29884 32322 37355 43096 44826 53870 59768 64644 74710 80805 89652 107740 112065 129288 149420 161610 166997 179304 215480 224130 298840 323220 333994 448260 500991 646440 667988 834985 896520 1001982 1298267 1335976 1669970 2003964 2504955 2596534 3339940 3894801 4007928 5009910 5193068 6491335 6679880 7789602 10019820 10386136 12982670 15579204 19474005 20039640 25965340 31158408 38948010 40246277 51930680 77896020 80492554 120738831 155792040 160985108 201231385 241477662 321970216 402462770 482955324 603694155 804925540 965910648 1207388310 1609851080 2414776620 4829553240