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48624444 = 223211122789
BaseRepresentation
bin1011100101111…
…1001100111100
310101111101012100
42321133030330
544421440234
64454105100
71130205141
oct271371474
9111441170
1048624444
11254a12a0
121434b190
13a0c627b
14665a3c8
154407399
hex2e5f33c

48624444 has 36 divisors (see below), whose sum is σ = 134086680. Its totient is φ = 14734560.

The previous prime is 48624431. The next prime is 48624463. The reversal of 48624444 is 44442684.

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

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 junction number, because it is equal to n+sod(n) for n = 48624399 and 48624408.

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, 60999 + ... + 61790.

It is an arithmetic number, because the mean of its divisors is an integer number (3724630).

Almost surely, 248624444 is an apocalyptic number.

48624444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48624444 is an abundant number, since it is smaller than the sum of its proper divisors (85462236).

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

48624444 is a wasteful number, since it uses less digits than its factorization.

48624444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122810 (or 122805 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 48624444 is about 6973.1229732452. The cubic root of 48624444 is about 364.9932919265.

The spelling of 48624444 in words is "forty-eight million, six hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 122789 245578 368367 491156 736734 1105101 1350679 1473468 2210202 2701358 4052037 4420404 5402716 8104074 12156111 16208148 24312222 48624444