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48593864 = 23113147379
BaseRepresentation
bin1011100101011…
…1101111001000
310101102211020202
42321113233020
544420000424
64453311332
71130020034
oct271275710
9111384222
1048593864
1125480320
1214335548
13a0b5387
14664d1c4
1543ed2ae
hex2e57bc8

48593864 has 64 divisors (see below), whose sum is σ = 105062400. Its totient is φ = 20865600.

The previous prime is 48593863. The next prime is 48593869. The reversal of 48593864 is 46839584.

It is a super-2 number, since 2×485938642 = 4722727236900992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (48593861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128027 + ... + 128405.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 248593864 is an apocalyptic number.

48593864 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 48593864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52531200).

48593864 is an abundant number, since it is smaller than the sum of its proper divisors (56468536).

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

48593864 is a wasteful number, since it uses less digits than its factorization.

48593864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 48593864 is about 6970.9299236185. The cubic root of 48593864 is about 364.9167609022.

It can be divided in two parts, 485 and 93864, that added together give a palindrome (94349).

The spelling of 48593864 in words is "forty-eight million, five hundred ninety-three thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 22 31 44 47 62 88 94 124 188 248 341 376 379 517 682 758 1034 1364 1457 1516 2068 2728 2914 3032 4136 4169 5828 8338 11656 11749 16027 16676 17813 23498 32054 33352 35626 46996 64108 71252 93992 128216 129239 142504 195943 258478 391886 516956 552203 783772 1033912 1104406 1567544 2208812 4417624 6074233 12148466 24296932 48593864