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483998040 = 233253121399
BaseRepresentation
bin11100110110010…
…011100101011000
31020201201122111100
4130312103211120
51442400414130
6120005431400
714664626001
oct3466234530
91221648440
10483998040
11229227989
1211610b560
1379371696
14483cc1a8
152c756c60
hex1cd93958

483998040 has 144 divisors (see below), whose sum is σ = 1626534000. Its totient is φ = 124813440.

The previous prime is 483998033. The next prime is 483998083. The reversal of 483998040 is 40899384.

It is a happy number.

483998040 is a `hidden beast` number, since 483 + 99 + 80 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345261 + ... + 346659.

It is an arithmetic number, because the mean of its divisors is an integer number (11295375).

Almost surely, 2483998040 is an apocalyptic number.

483998040 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 483998040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813267000).

483998040 is an abundant number, since it is smaller than the sum of its proper divisors (1142535960).

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

483998040 is a wasteful number, since it uses less digits than its factorization.

483998040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 483998040 is about 21999.9554545004. The cubic root of 483998040 is about 785.1413812184.

The spelling of 483998040 in words is "four hundred eighty-three million, nine hundred ninety-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 961 1116 1240 1395 1399 1860 1922 2232 2790 2798 2883 3720 3844 4197 4805 5580 5596 5766 6995 7688 8394 8649 9610 11160 11192 11532 12591 13990 14415 16788 17298 19220 20985 23064 25182 27980 28830 33576 34596 38440 41970 43245 43369 50364 55960 57660 62955 69192 83940 86490 86738 100728 115320 125910 130107 167880 172980 173476 216845 251820 260214 345960 346952 390321 433690 503640 520428 650535 780642 867380 1040856 1301070 1344439 1561284 1734760 1951605 2602140 2688878 3122568 3903210 4033317 5204280 5377756 6722195 7806420 8066634 10755512 12099951 13444390 15612840 16133268 20166585 24199902 26888780 32266536 40333170 48399804 53777560 60499755 80666340 96799608 120999510 161332680 241999020 483998040