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48264084 = 223211307397
BaseRepresentation
bin1011100000011…
…1001110010100
310100211001212200
42320013032110
544323422314
64442244500
71124144421
oct270071624
9110731780
1048264084
1125275580
12141b6730
139ccb23b
1465a4d48
154385709
hex2e07394

48264084 has 72 divisors (see below), whose sum is σ = 133861728. Its totient is φ = 14541120.

The previous prime is 48264061. The next prime is 48264109. The reversal of 48264084 is 48046284.

48264084 is a `hidden beast` number, since 4 + 8 + 2 + 640 + 8 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121374 + ... + 121770.

Almost surely, 248264084 is an apocalyptic number.

48264084 is a gapful number since it is divisible by the number (44) 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 48264084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66930864).

48264084 is an abundant number, since it is smaller than the sum of its proper divisors (85597644).

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

48264084 is a wasteful number, since it uses less digits than its factorization.

48264084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48264084 is about 6947.2357092588. The cubic root of 48264084 is about 364.0893895505.

The spelling of 48264084 in words is "forty-eight million, two hundred sixty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 307 396 397 614 794 921 1191 1228 1588 1842 2382 2763 3377 3573 3684 4367 4764 5526 6754 7146 8734 10131 11052 13101 13508 14292 17468 20262 26202 30393 39303 40524 52404 60786 78606 121572 121879 157212 243758 365637 487516 731274 1096911 1340669 1462548 2193822 2681338 4022007 4387644 5362676 8044014 12066021 16088028 24132042 48264084