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483768936 = 23347234637
BaseRepresentation
bin11100110101011…
…011101001101000
31020201022000020000
4130311123221220
51442321101221
6120000503000
714662653030
oct3465335150
91221260200
10483768936
11229090842
1211601aa60
13792c1311
144836c8c0
152c70de26
hex1cd5ba68

483768936 has 160 divisors (see below), whose sum is σ = 1616250240. Its totient is φ = 132181632.

The previous prime is 483768889. The next prime is 483768947. The reversal of 483768936 is 639867384.

483768936 is a `hidden beast` number, since 483 + 76 + 8 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 102010 + ... + 106646.

It is an arithmetic number, because the mean of its divisors is an integer number (10101564).

Almost surely, 2483768936 is an apocalyptic number.

483768936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

483768936 is the 13911-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483768936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808125120).

483768936 is an abundant number, since it is smaller than the sum of its proper divisors (1132481304).

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

483768936 is a wasteful number, since it uses less digits than its factorization.

483768936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4672 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 483768936 is about 21994.7479185373. The cubic root of 483768936 is about 785.0174775342.

The spelling of 483768936 in words is "four hundred eighty-three million, seven hundred sixty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 621 644 648 756 828 966 1134 1242 1288 1449 1512 1656 1863 1932 2268 2484 2898 3726 3864 4347 4536 4637 4968 5796 7452 8694 9274 11592 13041 13911 14904 17388 18548 26082 27822 32459 34776 37096 41733 52164 55644 64918 83466 97377 104328 106651 111288 125199 129836 166932 194754 213302 250398 259672 292131 319953 333864 375597 389508 426604 500796 584262 639906 746557 751194 779016 853208 876393 959859 1001592 1168524 1279812 1493114 1502388 1752786 1919718 2239671 2337048 2559624 2629179 2879577 2986228 3004776 3505572 3839436 4479342 5258358 5759154 5972456 6719013 7011144 7678872 8638731 8958684 10516716 11518308 13438026 17277462 17917368 20157039 21033432 23036616 26876052 34554924 40314078 53752104 60471117 69109848 80628156 120942234 161256312 241884468 483768936