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454355055 = 335711109401
BaseRepresentation
bin11011000101001…
…110100001101111
31011122221121222000
4123011032201233
51412303330210
6113030223343
714154645210
oct3305164157
91148847860
10454355055
11213520750
121081b4b53
137319305b
14444b3407
1529d4dac0
hex1b14e86f

454355055 has 128 divisors (see below), whose sum is σ = 1018828800. Its totient is φ = 186624000.

The previous prime is 454355053. The next prime is 454355089. The reversal of 454355055 is 550553454.

454355055 is a `hidden beast` number, since 4 + 54 + 3 + 550 + 55 = 666.

It is not a de Polignac number, because 454355055 - 21 = 454355053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454355051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1132855 + ... + 1133255.

It is an arithmetic number, because the mean of its divisors is an integer number (7959600).

Almost surely, 2454355055 is an apocalyptic number.

454355055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

454355055 is an abundant number, since it is smaller than the sum of its proper divisors (564473745).

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

454355055 is a wasteful number, since it uses less digits than its factorization.

454355055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

The square root of 454355055 is about 21315.6059027183. The cubic root of 454355055 is about 768.7735888062.

It can be divided in two parts, 4543550 and 55, that added together give a triangular number (4543605 = T3014).

The spelling of 454355055 in words is "four hundred fifty-four million, three hundred fifty-five thousand, fifty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 109 135 165 189 231 297 315 327 385 401 495 545 693 763 945 981 1155 1199 1203 1485 1635 2005 2079 2289 2807 2943 3465 3597 3609 3815 4411 4905 5995 6015 6867 8393 8421 10395 10791 10827 11445 13233 14035 14715 17985 18045 20601 22055 25179 25263 30877 32373 34335 39699 41965 42105 43709 53955 54135 66165 75537 75789 92631 103005 119097 125895 126315 131127 154385 161865 198495 218545 226611 277893 305963 377685 378945 393381 463155 480799 595485 655635 833679 917889 1133055 1180143 1389465 1442397 1529815 1966905 2403995 2753667 3365593 4168395 4327191 4589445 5900715 7211985 8261001 10096779 12981573 13768335 16827965 21635955 30290337 41305005 50483895 64907865 90871011 151451685 454355055