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30557007 = 351317569
BaseRepresentation
bin111010010010…
…0001101001111
32010111110100000
41310210031033
530310311012
63010535343
7520505325
oct164441517
963443300
1030557007
1116280a28
12a297553
13643b690
1440b5d15
152a38ddc
hex1d2434f

30557007 has 48 divisors (see below), whose sum is σ = 52284960. Its totient is φ = 17667072.

The previous prime is 30556943. The next prime is 30557011. The reversal of 30557007 is 70075503.

It is not a de Polignac number, because 30557007 - 26 = 30556943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30557017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53419 + ... + 53987.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 230557007 is an apocalyptic number.

30557007 is a deficient number, since it is larger than the sum of its proper divisors (21727953).

30557007 is a wasteful number, since it uses less digits than its factorization.

30557007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 30557007 is about 5527.8392704564. The cubic root of 30557007 is about 312.6345259739.

The spelling of 30557007 in words is "thirty million, five hundred fifty-seven thousand, seven".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 243 351 459 569 663 1053 1377 1707 1989 3159 4131 5121 5967 7397 9673 15363 17901 22191 29019 46089 53703 66573 87057 125749 138267 199719 261171 377247 599157 783513 1131741 1797471 2350539 3395223 10185669 30557007