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2045625400 = 2352713112397
BaseRepresentation
bin111100111101101…
…1100010000111000
312021120012112111201
41321323130100320
513142140003100
6534552503544
7101456346310
oct17173342070
95246175451
102045625400
1195a77a705
124910aabb4
13267a60540
14155974440
15be8c636a
hex79edc438

2045625400 has 96 divisors (see below), whose sum is σ = 5853687840. Its totient is φ = 647400960.

The previous prime is 2045625397. The next prime is 2045625431. The reversal of 2045625400 is 45265402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37999 + ... + 74398.

It is an arithmetic number, because the mean of its divisors is an integer number (60975915).

Almost surely, 22045625400 is an apocalyptic number.

2045625400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045625400 is an abundant number, since it is smaller than the sum of its proper divisors (3808062440).

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

2045625400 is a wasteful number, since it uses less digits than its factorization.

2045625400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112433 (or 112424 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2045625400 is about 45228.5905152924. The cubic root of 2045625400 is about 1269.4298389271.

The spelling of 2045625400 in words is "two billion, forty-five million, six hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 112397 224794 449588 561985 786779 899176 1123970 1461161 1573558 2247940 2809925 2922322 3147116 3933895 4495880 5619850 5844644 6294232 7305805 7867790 10228127 11239700 11689288 14611610 15735580 19669475 20456254 22479400 29223220 31471160 36529025 39338950 40912508 51140635 58446440 73058050 78677900 81825016 102281270 146116100 157355800 204562540 255703175 292232200 409125080 511406350 1022812700 2045625400