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1625000440 = 235773107743
BaseRepresentation
bin110000011011011…
…1000100111111000
311012020201120112111
41200312320213320
511312000003230
6425125222104
755161163420
oct14066704770
94166646474
101625000440
117642a7978
12394261934
131cb87a22b
14115b61480
15979db92a
hex60db89f8

1625000440 has 128 divisors (see below), whose sum is σ = 4281154560. Its totient is φ = 543642624.

The previous prime is 1625000389. The next prime is 1625000453. The reversal of 1625000440 is 440005261.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2186709 + ... + 2187451.

It is an arithmetic number, because the mean of its divisors is an integer number (33446520).

Almost surely, 21625000440 is an apocalyptic number.

1625000440 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 1625000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140577280).

1625000440 is an abundant number, since it is smaller than the sum of its proper divisors (2656154120).

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

1625000440 is a wasteful number, since it uses less digits than its factorization.

1625000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1625000440 is about 40311.2941990207. The cubic root of 1625000440 is about 1175.6674499719.

The spelling of 1625000440 in words is "one billion, six hundred twenty-five million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 107 140 146 214 280 292 365 428 511 535 584 730 743 749 856 1022 1070 1460 1486 1498 2044 2140 2555 2920 2972 2996 3715 3745 4088 4280 5110 5201 5944 5992 7430 7490 7811 10220 10402 14860 14980 15622 20440 20804 26005 29720 29960 31244 39055 41608 52010 54239 54677 62488 78110 79501 104020 108478 109354 156220 159002 208040 216956 218708 271195 273385 312440 318004 379673 397505 433912 437416 542390 546770 556507 636008 759346 795010 1084780 1093540 1113014 1518692 1590020 1898365 2169560 2187080 2226028 2782535 3037384 3180040 3796730 4452056 5565070 5803573 7593460 11130140 11607146 15186920 22260280 23214292 29017865 40625011 46428584 58035730 81250022 116071460 162500044 203125055 232142920 325000088 406250110 812500220 1625000440