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455523640 = 235111397821
BaseRepresentation
bin11011001001101…
…011110100111000
31011202010222221221
4123021223310320
51413103224030
6113111241424
714200613155
oct3311536470
91152128857
10455523640
11214149720
12108679274
13734b1c20
14446d922c
1529ecee7a
hex1b26bd38

455523640 has 128 divisors (see below), whose sum is σ = 1218006720. Its totient is φ = 151142400.

The previous prime is 455523631. The next prime is 455523647. The reversal of 455523640 is 46325554.

It is a junction number, because it is equal to n+sod(n) for n = 455523596 and 455523605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455523647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554430 + ... + 555250.

Almost surely, 2455523640 is an apocalyptic number.

455523640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455523640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609003360).

455523640 is an abundant number, since it is smaller than the sum of its proper divisors (762483080).

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

455523640 is a wasteful number, since it uses less digits than its factorization.

455523640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The square root of 455523640 is about 21342.9997891580. Note that the first 3 decimals coincide. The cubic root of 455523640 is about 769.4321106494.

The spelling of 455523640 in words is "four hundred fifty-five million, five hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 97 104 110 130 143 194 220 260 286 388 440 485 520 572 715 776 821 970 1067 1144 1261 1430 1642 1940 2134 2522 2860 3284 3880 4105 4268 5044 5335 5720 6305 6568 8210 8536 9031 10088 10670 10673 12610 13871 16420 18062 21340 21346 25220 27742 32840 36124 42680 42692 45155 50440 53365 55484 69355 72248 79637 85384 90310 106730 110968 117403 138710 159274 180620 213460 234806 277420 318548 361240 398185 426920 469612 554840 587015 637096 796370 876007 939224 1035281 1174030 1592740 1752014 2070562 2348060 3185480 3504028 4141124 4380035 4696120 5176405 7008056 8282248 8760070 10352810 11388091 17520140 20705620 22776182 35040280 41411240 45552364 56940455 91104728 113880910 227761820 455523640