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30557072 = 2471331677
BaseRepresentation
bin111010010010…
…0001110010000
32010111110102102
41310210032100
530310311242
63010535532
7520505450
oct164441620
963443372
1030557072
1116280a87
12a2975a8
13643b710
1440b5d60
152a38e32
hex1d24390

30557072 has 80 divisors (see below), whose sum is σ = 75328512. Its totient is φ = 11681280.

The previous prime is 30557071. The next prime is 30557077. The reversal of 30557072 is 27075503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30557071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44798 + ... + 45474.

Almost surely, 230557072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30557072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37664256).

30557072 is an abundant number, since it is smaller than the sum of its proper divisors (44771440).

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

30557072 is a wasteful number, since it uses less digits than its factorization.

30557072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 29.

The square root of 30557072 is about 5527.8451497849. The cubic root of 30557072 is about 312.6347476495.

The spelling of 30557072 in words is "thirty million, five hundred fifty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 677 728 806 868 1354 1456 1612 1736 2708 2821 3224 3472 4739 5416 5642 6448 8801 9478 10832 11284 17602 18956 20987 22568 35204 37912 41974 45136 61607 70408 75824 83948 123214 140816 146909 167896 246428 272831 293818 335792 492856 545662 587636 985712 1091324 1175272 1909817 2182648 2350544 3819634 4365296 7639268 15278536 30557072