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1425649400 = 235271377433
BaseRepresentation
bin101010011111001…
…1010111011111000
310200100121111022122
41110332122323320
510404431240100
6353244340412
750220551150
oct12476327370
93610544278
101425649400
1167181854a
12339544708
1319948c436
14d74ab760
158525e985
hex54f9aef8

1425649400 has 96 divisors (see below), whose sum is σ = 3816318240. Its totient is φ = 485160960.

The previous prime is 1425649387. The next prime is 1425649507. The reversal of 1425649400 is 49465241.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188084 + ... + 195516.

It is an arithmetic number, because the mean of its divisors is an integer number (39753315).

Almost surely, 21425649400 is an apocalyptic number.

1425649400 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 1425649400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908159120).

1425649400 is an abundant number, since it is smaller than the sum of its proper divisors (2390668840).

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

1425649400 is a wasteful number, since it uses less digits than its factorization.

1425649400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7593 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 1425649400 is about 37757.7727097349. The cubic root of 1425649400 is about 1125.4794729867.

The spelling of 1425649400 in words is "one billion, four hundred twenty-five million, six hundred forty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 137 140 175 200 274 280 350 548 685 700 959 1096 1370 1400 1918 2740 3425 3836 4795 5480 6850 7433 7672 9590 13700 14866 19180 23975 27400 29732 37165 38360 47950 52031 59464 74330 95900 104062 148660 185825 191800 208124 260155 297320 371650 416248 520310 743300 1018321 1040620 1300775 1486600 2036642 2081240 2601550 4073284 5091605 5203100 7128247 8146568 10183210 10406200 14256494 20366420 25458025 28512988 35641235 40732840 50916050 57025976 71282470 101832100 142564940 178206175 203664200 285129880 356412350 712824700 1425649400