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1620626049 = 3872712
BaseRepresentation
bin110000010011000…
…1100101010000001
311011221111100000000
41200212030222001
511304340013144
6424451350213
755106044200
oct14046145201
94157440000
101620626049
1176188a379
123928b2369
131ca9a8133
14115343237
1597425769
hex6098ca81

1620626049 has 81 divisors (see below), whose sum is σ = 2868070881. Its totient is φ = 913028760.

The previous prime is 1620626041. The next prime is 1620626057. The reversal of 1620626049 is 9406260261.

The square root of 1620626049 is 40257.

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

1620626049 is a `hidden beast` number, since 1 + 6 + 20 + 626 + 0 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (1620626041) and next prime (1620626057).

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 1620626049 - 23 = 1620626041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1620626041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22825684 + ... + 22825754.

Almost surely, 21620626049 is an apocalyptic number.

1620626049 is the 40257-th square number.

1620626049 is the 20129-th centered octagonal number.

It is an amenable number.

1620626049 is a deficient number, since it is larger than the sum of its proper divisors (1247444832).

1620626049 is an frugal number, since it uses more digits than its factorization.

1620626049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 1620626049 is about 1174.6115629262.

Multiplying 1620626049 by its sum of digits (36), we get a square (58342537764 = 2415422).

The spelling of 1620626049 in words is "one billion, six hundred twenty million, six hundred twenty-six thousand, forty-nine".

Divisors: 1 3 7 9 21 27 49 63 71 81 147 189 213 243 441 497 567 639 729 1323 1491 1701 1917 2187 3479 3969 4473 5041 5103 5751 6561 10437 11907 13419 15123 15309 17253 31311 35287 35721 40257 45369 45927 51759 93933 105861 107163 120771 136107 155277 247009 281799 317583 321489 362313 408321 465831 741027 845397 952749 1086939 1224963 2223081 2536191 2858247 3260817 3674889 6669243 7608573 8574741 11024667 20007729 22825719 25724223 33074001 60023187 77172669 180069561 231518007 540208683 1620626049