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30292956 = 22327311527
BaseRepresentation
bin111001110001…
…1101111011100
32010000001010100
41303203233130
530223333311
63001141100
7515325441
oct163435734
963001110
1030292956
1116110601
12a18a790
136378435
1440479c8
1529d5a56
hex1ce3bdc

30292956 has 36 divisors (see below), whose sum is σ = 77629552. Its totient is φ = 9958464.

The previous prime is 30292949. The next prime is 30292961. The reversal of 30292956 is 65929203.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30292956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3136 + ... + 8391.

Almost surely, 230292956 is an apocalyptic number.

30292956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30292956 is an abundant number, since it is smaller than the sum of its proper divisors (47336596).

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

30292956 is a wasteful number, since it uses less digits than its factorization.

30292956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11610 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 30292956 is about 5503.9037055530. The cubic root of 30292956 is about 311.7314009809.

The spelling of 30292956 in words is "thirty million, two hundred ninety-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 11527 23054 34581 46108 69162 103743 138324 207486 414972 841471 1682942 2524413 3365884 5048826 7573239 10097652 15146478 30292956