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1454806656 = 2734140317
BaseRepresentation
bin101011010110110…
…1001011010000000
310202101110211120000
41112231221122000
510434412303111
6400205320000
751023436552
oct12655513200
93671424500
101454806656
11687222856
12347266000
131a252a954
14db2db4d2
1587abdc56
hex56b69680

1454806656 has 80 divisors (see below), whose sum is σ = 4329511890. Its totient is φ = 484932096.

The previous prime is 1454806643. The next prime is 1454806669. The reversal of 1454806656 is 6566084541.

It is an interprime number because it is at equal distance from previous prime (1454806643) and next prime (1454806669).

It can be written as a sum of positive squares in only one way, i.e., 808833600 + 645973056 = 28440^2 + 25416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 59791 + ... + 80526.

Almost surely, 21454806656 is an apocalyptic number.

1454806656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1454806656 is an abundant number, since it is smaller than the sum of its proper divisors (2874705234).

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

1454806656 is an equidigital number, since it uses as much as digits as its factorization.

1454806656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140343 (or 140322 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 1454806656 is about 38141.9277960619. The cubic root of 1454806656 is about 1133.1004876510.

The spelling of 1454806656 in words is "one billion, four hundred fifty-four million, eight hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 140317 280634 420951 561268 841902 1122536 1262853 1683804 2245072 2525706 3367608 3788559 4490144 5051412 6735216 7577118 8980288 10102824 11365677 13470432 15154236 17960576 20205648 22731354 26940864 30308472 40411296 45462708 53881728 60616944 80822592 90925416 121233888 161645184 181850832 242467776 363701664 484935552 727403328 1454806656