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30057472 = 210149197
BaseRepresentation
bin111001010101…
…0010000000000
32002120002002201
41302222100000
530143314342
62552122544
7513325054
oct162522000
962502081
1030057472
1115a6a695
12a096454
1362c51b3
143dc5c64
15298adb7
hex1caa400

30057472 has 44 divisors (see below), whose sum is σ = 60795900. Its totient is φ = 14852096.

The previous prime is 30057463. The next prime is 30057523. The reversal of 30057472 is 27475003.

It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 11943936 = 4256^2 + 3456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30057472.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152478 + ... + 152674.

It is an arithmetic number, because the mean of its divisors is an integer number (1381725).

Almost surely, 230057472 is an apocalyptic number.

30057472 is a gapful number since it is divisible by the number (32) 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 30057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30397950).

30057472 is an abundant number, since it is smaller than the sum of its proper divisors (30738428).

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

30057472 is a wasteful number, since it uses less digits than its factorization.

30057472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 30057472 is about 5482.4695165591. The cubic root of 30057472 is about 310.9215449857.

The spelling of 30057472 in words is "thirty million, fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 149 197 256 298 394 512 596 788 1024 1192 1576 2384 3152 4768 6304 9536 12608 19072 25216 29353 38144 50432 58706 76288 100864 117412 152576 201728 234824 469648 939296 1878592 3757184 7514368 15028736 30057472