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454245440 = 26511177591
BaseRepresentation
bin11011000100110…
…011110001000000
31011122202001121012
4123010303301000
51412241323230
6113024020052
714154010505
oct3304636100
91148661535
10454245440
11213456360
12108161628
13731551ac
14444854ac
1529d2b395
hex1b133c40

454245440 has 112 divisors (see below), whose sum is σ = 1249582464. Its totient is φ = 155443200.

The previous prime is 454245427. The next prime is 454245443. The reversal of 454245440 is 44542454.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 454245397 and 454245406.

It is not an unprimeable number, because it can be changed into a prime (454245443) 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, 56045 + ... + 63635.

Almost surely, 2454245440 is an apocalyptic number.

454245440 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 454245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624791232).

454245440 is an abundant number, since it is smaller than the sum of its proper divisors (795337024).

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

454245440 is a wasteful number, since it uses less digits than its factorization.

454245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7636 (or 7626 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 32.

The square root of 454245440 is about 21313.0345094264. The cubic root of 454245440 is about 768.7117605850.

Adding to 454245440 its reverse (44542454), we get a palindrome (498787894).

The spelling of 454245440 in words is "four hundred fifty-four million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 136 160 170 176 187 220 272 320 340 352 374 440 544 680 704 748 880 935 1088 1360 1496 1760 1870 2720 2992 3520 3740 5440 5984 7480 7591 11968 14960 15182 29920 30364 37955 59840 60728 75910 83501 121456 129047 151820 167002 242912 258094 303640 334004 417505 485824 516188 607280 645235 668008 835010 1032376 1214560 1290470 1336016 1419517 1670020 2064752 2429120 2580940 2672032 2839034 3340040 4129504 5161880 5344064 5678068 6680080 7097585 8259008 10323760 11356136 13360160 14195170 20647520 22712272 26720320 28390340 41295040 45424544 56780680 90849088 113561360 227122720 454245440