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481826940 = 223572115437
BaseRepresentation
bin11100101110000…
…001100001111100
31020120122100022020
4130232001201330
51441321430230
6115451120140
714640314160
oct3456014174
91216570266
10481826940
11227a84791
12115443050
1378a913ca
1447dc4ca0
152c478810
hex1cb8187c

481826940 has 96 divisors (see below), whose sum is σ = 1549438464. Its totient is φ = 109589760.

The previous prime is 481826929. The next prime is 481826953. The reversal of 481826940 is 49628184.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 481826892 and 481826901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85902 + ... + 91338.

It is an arithmetic number, because the mean of its divisors is an integer number (16139984).

Almost surely, 2481826940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481826940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774719232).

481826940 is an abundant number, since it is smaller than the sum of its proper divisors (1067611524).

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

481826940 is a wasteful number, since it uses less digits than its factorization.

481826940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 481826940 is about 21950.5567127579. The cubic root of 481826940 is about 783.9656356415.

The spelling of 481826940 in words is "four hundred eighty-one million, eight hundred twenty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 211 420 422 633 844 1055 1266 1477 2110 2532 2954 3165 4220 4431 5437 5908 6330 7385 8862 10874 12660 14770 16311 17724 21748 22155 27185 29540 32622 38059 44310 54370 65244 76118 81555 88620 108740 114177 152236 163110 190295 228354 326220 380590 456708 570885 761180 1141770 1147207 2283540 2294414 3441621 4588828 5736035 6883242 8030449 11472070 13766484 16060898 17208105 22944140 24091347 32121796 34416210 40152245 48182694 68832420 80304490 96365388 120456735 160608980 240913470 481826940