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455213136 = 2437343643
BaseRepresentation
bin11011001000100…
…000000001010000
31011201120020000210
4123020200001100
51413013310021
6113100444120
714165151000
oct3310400120
91151506023
10455213136
11213a57404
12108549640
13734037b1
1444658000
1529e6ce76
hex1b220050

455213136 has 160 divisors (see below), whose sum is σ = 1405465600. Its totient is φ = 126838656.

The previous prime is 455213123. The next prime is 455213159. The reversal of 455213136 is 631312554.

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, 707631 + ... + 708273.

It is an arithmetic number, because the mean of its divisors is an integer number (8784160).

Almost surely, 2455213136 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 455213136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702732800).

455213136 is an abundant number, since it is smaller than the sum of its proper divisors (950252464).

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

455213136 is a wasteful number, since it uses less digits than its factorization.

455213136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 698 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 455213136 is about 21335.7244076689. The cubic root of 455213136 is about 769.2572451892.

The spelling of 455213136 in words is "four hundred fifty-five million, two hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 129 147 168 172 196 258 294 301 336 343 344 392 516 588 602 643 686 688 784 903 1029 1032 1176 1204 1286 1372 1806 1929 2058 2064 2107 2352 2408 2572 2744 3612 3858 4116 4214 4501 4816 5144 5488 6321 7224 7716 8232 8428 9002 10288 12642 13503 14448 14749 15432 16464 16856 18004 25284 27006 27649 29498 30864 31507 33712 36008 44247 50568 54012 55298 58996 63014 72016 82947 88494 94521 101136 108024 110596 117992 126028 165894 176988 189042 193543 216048 220549 221192 235984 252056 331788 353976 378084 387086 441098 442384 504112 580629 661647 663576 707952 756168 774172 882196 1161258 1323294 1327152 1354801 1512336 1548344 1764392 2322516 2646588 2709602 3096688 3528784 4064403 4645032 5293176 5419204 8128806 9290064 9483607 10586352 10838408 16257612 18967214 21676816 28450821 32515224 37934428 56901642 65030448 75868856 113803284 151737712 227606568 455213136