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2375400048 = 243723132579
BaseRepresentation
bin1000110110010101…
…1011101001110000
320010112201211021120
42031211123221300
514331100300143
61031413022240
7112602365400
oct21545335160
96115654246
102375400048
11100994023a
12563624980
132bb184878
14187698800
15dd817383
hex8d95ba70

2375400048 has 120 divisors (see below), whose sum is σ = 7368814080. Its totient is φ = 656772480.

The previous prime is 2375400043. The next prime is 2375400059. The reversal of 2375400048 is 8400045732.

2375400048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2375399991 and 2375400018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2375400043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56623 + ... + 89201.

It is an arithmetic number, because the mean of its divisors is an integer number (61406784).

Almost surely, 22375400048 is an apocalyptic number.

2375400048 is a gapful number since it is divisible by the number (28) 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 2375400048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684407040).

2375400048 is an abundant number, since it is smaller than the sum of its proper divisors (4993414032).

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

2375400048 is a wasteful number, since it uses less digits than its factorization.

2375400048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32635 (or 32622 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2375400048 is about 48738.0759570995. The cubic root of 2375400048 is about 1334.2757316460.

The spelling of 2375400048 in words is "two billion, three hundred seventy-five million, four hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 1176 1302 1488 1519 1736 2352 2604 3038 3472 4557 5208 6076 9114 10416 12152 18228 24304 32579 36456 65158 72912 97737 130316 195474 228053 260632 390948 456106 521264 684159 781896 912212 1009949 1368318 1563792 1596371 1824424 2019898 2736636 3029847 3192742 3648848 4039796 4789113 5473272 6059694 6385484 7069643 8079592 9578226 10946544 12119388 12770968 14139286 16159184 19156452 21208929 24238776 25541936 28278572 38312904 42417858 48477552 49487501 56557144 76625808 84835716 98975002 113114288 148462503 169671432 197950004 296925006 339342864 395900008 593850012 791800016 1187700024 2375400048