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1426572900 = 22325212592
BaseRepresentation
bin101010100000111…
…1100011001100100
310200102100102010100
41111001330121210
510410200313100
6353320224100
750231445444
oct12501743144
93612312110
101426572900
11672299375
1233990b030
1319972389c
14d766c124
1585393400
hex5507c664

1426572900 has 81 divisors (see below), whose sum is σ = 4475067961. Its totient is φ = 380117280.

The previous prime is 1426572893. The next prime is 1426572923. The reversal of 1426572900 is 92756241.

The square root of 1426572900 is 37770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 513566244 + 913006656 = 22662^2 + 30216^2 .

It is a super-2 number, since 2×14265729002 = 4070220478028820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1132471 + ... + 1133729.

Almost surely, 21426572900 is an apocalyptic number.

1426572900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1426572900 is the 37770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426572900

1426572900 is an abundant number, since it is smaller than the sum of its proper divisors (3048495061).

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

1426572900 is a wasteful number, since it uses less digits than its factorization.

1426572900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 1426572900 is about 1125.7224396763.

Multiplying 1426572900 by its sum of digits (36), we get a square (51356624400 = 2266202).

1426572900 divided by its sum of digits (36) gives a square (39627025 = 62952).

The spelling of 1426572900 in words is "one billion, four hundred twenty-six million, five hundred seventy-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1259 2518 3777 5036 6295 7554 11331 12590 15108 18885 22662 25180 31475 37770 45324 56655 62950 75540 94425 113310 125900 188850 226620 283275 377700 566550 1133100 1585081 3170162 4755243 6340324 7925405 9510486 14265729 15850810 19020972 23776215 28531458 31701620 39627025 47552430 57062916 71328645 79254050 95104860 118881075 142657290 158508100 237762150 285314580 356643225 475524300 713286450 1426572900