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48054276 = 22332967229
BaseRepresentation
bin1011011101010…
…0000000000100
310100102102002000
42313110000010
544300214101
64433545300
71122311634
oct267240004
9110372060
1048054276
1125141986
1214115230
139c568aa
14654c6c4
154343486
hex2dd4004

48054276 has 96 divisors (see below), whose sum is σ = 131376000. Its totient is φ = 15168384.

The previous prime is 48054269. The next prime is 48054277. The reversal of 48054276 is 67245084.

48054276 is a `hidden beast` number, since 48 + 0 + 542 + 76 = 666.

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 48054276.

It is not an unprimeable number, because it can be changed into a prime (48054277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209730 + ... + 209958.

It is an arithmetic number, because the mean of its divisors is an integer number (1368500).

Almost surely, 248054276 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 48054276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65688000).

48054276 is an abundant number, since it is smaller than the sum of its proper divisors (83321724).

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

48054276 is a wasteful number, since it uses less digits than its factorization.

48054276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48054276 is about 6932.1191565062. The cubic root of 48054276 is about 363.5610475759.

It can be divided in two parts, 480 and 54276, that added together give a square (54756 = 2342).

The spelling of 48054276 in words is "forty-eight million, fifty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 67 87 108 116 134 174 201 229 261 268 348 402 458 522 603 687 783 804 916 1044 1206 1374 1566 1809 1943 2061 2412 2748 3132 3618 3886 4122 5829 6183 6641 7236 7772 8244 11658 12366 13282 15343 17487 19923 23316 24732 26564 30686 34974 39846 46029 52461 59769 61372 69948 79692 92058 104922 119538 138087 179307 184116 209844 239076 276174 358614 414261 444947 552348 717228 828522 889894 1334841 1657044 1779788 2669682 4004523 5339364 8009046 12013569 16018092 24027138 48054276