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467931380 = 225726912
BaseRepresentation
bin11011111001000…
…001000011110100
31012121111101011212
4123321001003310
51424242301010
6114233220552
714411231300
oct3371010364
91177441155
10467931380
11220153854
12110861758
1375c37697
1446208d00
152b131505
hex1be410f4

467931380 has 54 divisors (see below), whose sum is σ = 1144746162. Its totient is φ = 160201440.

The previous prime is 467931367. The next prime is 467931383. The reversal of 467931380 is 83139764.

It can be written as a sum of positive squares in only one way, i.e., 374345104 + 93586276 = 19348^2 + 9674^2 .

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467931383) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 676835 + ... + 677525.

It is an arithmetic number, because the mean of its divisors is an integer number (21199003).

Almost surely, 2467931380 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 467931380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572373081).

467931380 is an abundant number, since it is smaller than the sum of its proper divisors (676814782).

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

467931380 is an equidigital number, since it uses as much as digits as its factorization.

467931380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 467931380 is about 21631.7216143330. The cubic root of 467931380 is about 776.3556598498.

The spelling of 467931380 in words is "four hundred sixty-seven million, nine hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 691 980 1382 2764 3455 4837 6910 9674 13820 19348 24185 33859 48370 67718 96740 135436 169295 338590 477481 677180 954962 1909924 2387405 3342367 4774810 6684734 9549620 13369468 16711835 23396569 33423670 46793138 66847340 93586276 116982845 233965690 467931380