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457466450 = 25272613061
BaseRepresentation
bin11011010001000…
…110001001010010
31011212210200222212
4123101012021102
51414102411300
6113221032122
714223254300
oct3321061122
91155720885
10457466450
11215256351
12109255642
1373a1230c
1444a83270
152a265935
hex1b446252

457466450 has 72 divisors (see below), whose sum is σ = 1006363044. Its totient is φ = 154224000.

The previous prime is 457466423. The next prime is 457466461. The reversal of 457466450 is 54664754.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 156825529 + 300640921 = 12523^2 + 17339^2 .

It is a junction number, because it is equal to n+sod(n) for n = 457466398 and 457466407.

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, 147920 + ... + 150980.

Almost surely, 2457466450 is an apocalyptic number.

457466450 is an abundant number, since it is smaller than the sum of its proper divisors (548896594).

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

457466450 is a wasteful number, since it uses less digits than its factorization.

457466450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The square root of 457466450 is about 21388.4653493419. The cubic root of 457466450 is about 770.5244361213.

The spelling of 457466450 in words is "four hundred fifty-seven million, four hundred sixty-six thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 61 70 98 122 175 245 305 350 427 490 610 854 1225 1525 2135 2450 2989 3050 3061 4270 5978 6122 10675 14945 15305 21350 21427 29890 30610 42854 74725 76525 107135 149450 149989 153050 186721 214270 299978 373442 535675 749945 933605 1071350 1307047 1499890 1867210 2614094 3749725 4668025 6535235 7499450 9149329 9336050 13070470 18298658 32676175 45746645 65352350 91493290 228733225 457466450