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455690496 = 2836171137
BaseRepresentation
bin11011001010010…
…100100100000000
31011202110110211210
4123022110210000
51413124043441
6113115010120
714202206502
oct3312244400
91152413753
10455690496
11214253018
12108739940
137353cb61
144473dd72
152a014616
hex1b294900

455690496 has 144 divisors (see below), whose sum is σ = 1259169408. Its totient is φ = 146227200.

The previous prime is 455690447. The next prime is 455690497. The reversal of 455690496 is 694096554.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (455690497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3326140 + ... + 3326276.

It is an arithmetic number, because the mean of its divisors is an integer number (8744232).

Almost surely, 2455690496 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 455690496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629584704).

455690496 is an abundant number, since it is smaller than the sum of its proper divisors (803478912).

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

455690496 is a wasteful number, since it uses less digits than its factorization.

455690496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 455690496 is about 21346.9083475805. The cubic root of 455690496 is about 769.5260455415.

The spelling of 455690496 in words is "four hundred fifty-five million, six hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 71 96 122 128 137 142 183 192 213 244 256 274 284 366 384 411 426 488 548 568 732 768 822 852 976 1096 1136 1464 1644 1704 1952 2192 2272 2928 3288 3408 3904 4331 4384 4544 5856 6576 6816 7808 8357 8662 8768 9088 9727 11712 12993 13152 13632 15616 16714 17324 17536 18176 19454 23424 25071 25986 26304 27264 29181 33428 34648 35072 38908 46848 50142 51972 52608 54528 58362 66856 69296 77816 100284 103944 105216 116724 133712 138592 155632 200568 207888 233448 267424 277184 311264 401136 415776 466896 534848 554368 593347 622528 802272 831552 933792 1069696 1108736 1186694 1245056 1604544 1663104 1780041 1867584 2139392 2373388 2490112 3209088 3326208 3560082 3735168 4746776 6418176 7120164 7470336 9493552 14240328 18987104 28480656 37974208 56961312 75948416 113922624 151896832 227845248 455690496