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30274848 = 2532313391
BaseRepresentation
bin111001101111…
…1010100100000
32002222010021200
41303133110200
530222243343
63000521200
7515221602
oct163372440
962863250
1030274848
11160a8a3a
12a180200
136370116
144041172
1529d04d3
hex1cdf520

30274848 has 72 divisors (see below), whose sum is σ = 88897536. Its totient is φ = 9763200.

The previous prime is 30274813. The next prime is 30274861. The reversal of 30274848 is 84847203.

It is a tau number, because it is divible by the number of its divisors (72).

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7233 + ... + 10623.

It is an arithmetic number, because the mean of its divisors is an integer number (1234688).

Almost surely, 230274848 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 30274848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44448768).

30274848 is an abundant number, since it is smaller than the sum of its proper divisors (58622688).

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

30274848 is a wasteful number, since it uses less digits than its factorization.

30274848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 30274848 is about 5502.2584454022. The cubic root of 30274848 is about 311.6692747962.

It can be divided in two parts, 3027 and 4848, that added together give a triangular number (7875 = T125).

The spelling of 30274848 in words is "thirty million, two hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 3391 4464 6782 8928 10173 13564 20346 27128 30519 40692 54256 61038 81384 105121 108512 122076 162768 210242 244152 315363 325536 420484 488304 630726 840968 946089 976608 1261452 1681936 1892178 2522904 3363872 3784356 5045808 7568712 10091616 15137424 30274848