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455297856 = 26313792309
BaseRepresentation
bin11011001000110…
…100101101000000
31011201201112020120
4123020310231000
51413024012411
6113102340240
714165652666
oct3310645500
91151645216
10455297856
11214005022
1210858a680
1373433220
144467ac36
1529e88106
hex1b234b40

455297856 has 112 divisors (see below), whose sum is σ = 1314297600. Its totient is φ = 138258432.

The previous prime is 455297831. The next prime is 455297863. The reversal of 455297856 is 658792554.

It is a super-2 number, since 2×4552978562 = 414592275356393472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 455297799 and 455297808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196030 + ... + 198338.

It is an arithmetic number, because the mean of its divisors is an integer number (11734800).

Almost surely, 2455297856 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 455297856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657148800).

455297856 is an abundant number, since it is smaller than the sum of its proper divisors (858999744).

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

455297856 is a wasteful number, since it uses less digits than its factorization.

455297856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2406 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 51.

The square root of 455297856 is about 21337.7097177743. The cubic root of 455297856 is about 769.3049645439.

The spelling of 455297856 in words is "four hundred fifty-five million, two hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 156 158 192 208 237 312 316 416 474 624 632 832 948 1027 1248 1264 1896 2054 2309 2496 2528 3081 3792 4108 4618 5056 6162 6927 7584 8216 9236 12324 13854 15168 16432 18472 24648 27708 30017 32864 36944 49296 55416 60034 65728 73888 90051 98592 110832 120068 147776 180102 182411 197184 221664 240136 360204 364822 443328 480272 547233 720408 729644 960544 1094466 1440816 1459288 1921088 2188932 2371343 2881632 2918576 4377864 4742686 5763264 5837152 7114029 8755728 9485372 11674304 14228058 17511456 18970744 28456116 35022912 37941488 56912232 75882976 113824464 151765952 227648928 455297856