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4863240 = 233451979
BaseRepresentation
bin10010100011010100001000
3100011002010000
4102203110020
52221110430
6252123000
756223354
oct22432410
910132100
104863240
112821908
121766460
131013775
14908464
15660e60
hex4a3508

4863240 has 160 divisors (see below), whose sum is σ = 17424000. Its totient is φ = 1213056.

The previous prime is 4863239. The next prime is 4863263. The reversal of 4863240 is 423684.

It is a super-2 number, since 2×48632402 = 47302206595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 61521 + ... + 61599.

It is an arithmetic number, because the mean of its divisors is an integer number (108900).

Almost surely, 24863240 is an apocalyptic number.

4863240 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 4863240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8712000).

4863240 is an abundant number, since it is smaller than the sum of its proper divisors (12560760).

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

4863240 is a wasteful number, since it uses less digits than its factorization.

4863240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4863240 is about 2205.2754929940. The cubic root of 4863240 is about 169.4241182781.

The spelling of 4863240 in words is "four million, eight hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 79 81 90 95 108 114 120 135 152 158 162 171 180 190 216 228 237 270 285 316 324 342 360 380 395 405 456 474 513 540 570 632 648 684 711 760 790 810 855 948 1026 1080 1140 1185 1368 1422 1501 1539 1580 1620 1710 1896 2052 2133 2280 2370 2565 2844 3002 3078 3160 3240 3420 3555 4104 4266 4503 4740 5130 5688 6004 6156 6399 6840 7110 7505 7695 8532 9006 9480 10260 10665 12008 12312 12798 13509 14220 15010 15390 17064 18012 20520 21330 22515 25596 27018 28440 30020 30780 31995 36024 40527 42660 45030 51192 54036 60040 61560 63990 67545 81054 85320 90060 108072 121581 127980 135090 162108 180120 202635 243162 255960 270180 324216 405270 486324 540360 607905 810540 972648 1215810 1621080 2431620 4863240