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454445440 = 2757173137
BaseRepresentation
bin11011000101100…
…100100110000000
31011200010012221121
4123011210212000
51412314223230
6113032202024
714155502551
oct3305444600
91150105847
10454445440
11213582649
12108239314
13731c5237
14444d8328
1529d6a77a
hex1b164980

454445440 has 128 divisors (see below), whose sum is σ = 1124953920. Its totient is φ = 175472640.

The previous prime is 454445429. The next prime is 454445447. The reversal of 454445440 is 44544454.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 454445396 and 454445405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454445447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3317052 + ... + 3317188.

Almost surely, 2454445440 is an apocalyptic number.

454445440 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 454445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562476960).

454445440 is an abundant number, since it is smaller than the sum of its proper divisors (670508480).

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

454445440 is a wasteful number, since it uses less digits than its factorization.

454445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 34.

The square root of 454445440 is about 21317.7259575218. The cubic root of 454445440 is about 768.8245628869.

Adding to 454445440 its reverse (44544454), we get a palindrome (498989894).

The spelling of 454445440 in words is "four hundred fifty-four million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 73 80 128 137 142 146 160 274 284 292 320 355 365 548 568 584 640 685 710 730 1096 1136 1168 1370 1420 1460 2192 2272 2336 2740 2840 2920 4384 4544 4672 5183 5480 5680 5840 8768 9088 9344 9727 10001 10366 10960 11360 11680 17536 19454 20002 20732 21920 22720 23360 25915 38908 40004 41464 43840 45440 46720 48635 50005 51830 77816 80008 82928 87680 97270 100010 103660 155632 160016 165856 194540 200020 207320 311264 320032 331712 389080 400040 414640 622528 640064 663424 710071 778160 800080 829280 1245056 1280128 1420142 1556320 1600160 1658560 2840284 3112640 3200320 3317120 3550355 5680568 6225280 6400640 7100710 11361136 14201420 22722272 28402840 45444544 56805680 90889088 113611360 227222720 454445440