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30742992 = 2432724357
BaseRepresentation
bin111010101000…
…1100111010000
32010211220110100
41311101213100
530332233432
63014532400
7522211500
oct165214720
963756410
1030742992
1116398735
12a367100
1364a5227
144123a00
152a7407c
hex1d519d0

30742992 has 90 divisors (see below), whose sum is σ = 100107618. Its totient is φ = 8781696.

The previous prime is 30742981. The next prime is 30742993. The reversal of 30742992 is 29924703.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 7056 = 5544^2 + 84^2 .

It is a super-2 number, since 2×307429922 = 1890263114224128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30742993) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4878 + ... + 9234.

Almost surely, 230742992 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 30742992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50053809).

30742992 is an abundant number, since it is smaller than the sum of its proper divisors (69364626).

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

30742992 is a wasteful number, since it uses less digits than its factorization.

30742992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30742992 is about 5544.6363271183. The cubic root of 30742992 is about 313.2675260421.

The spelling of 30742992 in words is "thirty million, seven hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 4357 7056 8714 13071 17428 26142 30499 34856 39213 52284 60998 69712 78426 91497 104568 121996 156852 182994 209136 213493 243992 274491 313704 365988 426986 487984 548982 627408 640479 731976 853972 1097964 1280958 1463952 1707944 1921437 2195928 2561916 3415888 3842874 4391856 5123832 7685748 10247664 15371496 30742992