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816473476 = 22721321572
BaseRepresentation
bin110000101010100…
…110010110000100
32002220100011001101
4300222212112010
53133004122401
6213003505444
726142624100
oct6052462604
92086304041
10816473476
11389972675
121a9528284
13100200100
147a616900
154ba2d101
hex30aa6584

816473476 has 81 divisors (see below), whose sum is σ = 1811332719. Its totient is φ = 320943168.

The previous prime is 816473461. The next prime is 816473503. The reversal of 816473476 is 674374618.

The square root of 816473476 is 28574.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 263283076 + 553190400 = 16226^2 + 23520^2 .

816473476 is a modest number, since divided by 73476 gives 8164 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5200390 + ... + 5200546.

Almost surely, 2816473476 is an apocalyptic number.

816473476 is the 28574-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816473476

816473476 is an abundant number, since it is smaller than the sum of its proper divisors (994859243).

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

816473476 is a wasteful number, since it uses less digits than its factorization.

816473476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The cubic root of 816473476 is about 934.6464489210.

It can be divided in two parts, 8164 and 73476, that multiplied together give a square (599858064 = 244922).

The spelling of 816473476 in words is "eight hundred sixteen million, four hundred seventy-three thousand, four hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 157 169 182 196 314 338 364 628 637 676 1099 1183 1274 2041 2198 2366 2548 4082 4396 4732 7693 8164 8281 14287 15386 16562 24649 26533 28574 30772 33124 49298 53066 57148 98596 100009 106132 172543 185731 200018 320437 345086 371462 400036 640874 690172 742924 1207801 1281748 1300117 2243059 2415602 2600234 4165681 4486118 4831204 5200468 8331362 8972236 15701413 16662724 29159767 31402826 58319534 62805652 116639068 204118369 408236738 816473476