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30252992 = 267211877
BaseRepresentation
bin111001101100…
…1111111000000
32002221000022012
41303121333000
530221043432
63000232052
7515101100
oct163317700
962830265
1030252992
1116093580
12a16b628
1363631a3
144037200
1529c8cb2
hex1cd9fc0

30252992 has 84 divisors (see below), whose sum is σ = 76270104. Its totient is φ = 11773440.

The previous prime is 30252991. The next prime is 30253019. The reversal of 30252992 is 29925203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30252991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34058 + ... + 34934.

Almost surely, 230252992 is an apocalyptic number.

30252992 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 30252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38135052).

30252992 is an abundant number, since it is smaller than the sum of its proper divisors (46017112).

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

30252992 is a wasteful number, since it uses less digits than its factorization.

30252992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 30252992 is about 5500.2719932745. The cubic root of 30252992 is about 311.5942567094.

The spelling of 30252992 in words is "thirty million, two hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 352 392 448 539 616 704 784 877 1078 1232 1568 1754 2156 2464 3136 3508 4312 4928 6139 7016 8624 9647 12278 14032 17248 19294 24556 28064 34496 38588 42973 49112 56128 67529 77176 85946 98224 135058 154352 171892 196448 270116 308704 343784 392896 472703 540232 617408 687568 945406 1080464 1375136 1890812 2160928 2750272 3781624 4321856 7563248 15126496 30252992