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1425554400 = 253521015881
BaseRepresentation
bin101010011111000…
…0011101111100000
310200100102200000010
41110332003233200
510404420220100
6353242324520
750220004164
oct12476035740
93610380003
101425554400
11671763136
123394b9740
1319945811a
14d7484ca4
1585241750
hex54f83be0

1425554400 has 144 divisors (see below), whose sum is σ = 4686918768. Its totient is φ = 376320000.

The previous prime is 1425554399. The next prime is 1425554407. The reversal of 1425554400 is 44555241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1425554407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239460 + ... + 245340.

It is an arithmetic number, because the mean of its divisors is an integer number (32548047).

Almost surely, 21425554400 is an apocalyptic number.

1425554400 is a gapful number since it is divisible by the number (10) 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 1425554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343459384).

1425554400 is an abundant number, since it is smaller than the sum of its proper divisors (3261364368).

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

1425554400 is a wasteful number, since it uses less digits than its factorization.

1425554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 1425554400 is about 37756.5146696567. The cubic root of 1425554400 is about 1125.4544731691.

The spelling of 1425554400 in words is "one billion, four hundred twenty-five million, five hundred fifty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 101 120 150 160 200 202 240 300 303 400 404 480 505 600 606 800 808 1010 1200 1212 1515 1616 2020 2400 2424 2525 3030 3232 4040 4848 5050 5881 6060 7575 8080 9696 10100 11762 12120 15150 16160 17643 20200 23524 24240 29405 30300 35286 40400 47048 48480 58810 60600 70572 80800 88215 94096 117620 121200 141144 147025 176430 188192 235240 242400 282288 294050 352860 441075 470480 564576 588100 593981 705720 882150 940960 1176200 1187962 1411440 1764300 1781943 2352400 2375924 2822880 2969905 3528600 3563886 4704800 4751848 5939810 7057200 7127772 8909715 9503696 11879620 14114400 14255544 14849525 17819430 19007392 23759240 28511088 29699050 35638860 44548575 47518480 57022176 59398100 71277720 89097150 95036960 118796200 142555440 178194300 237592400 285110880 356388600 475184800 712777200 1425554400