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3193908672 = 263313714503
BaseRepresentation
bin1011111001011111…
…0010110111000000
322020120220101000210
42332113302313000
523020120034142
61244532314120
7142101530043
oct27627626700
98216811023
103193908672
111399972949
12751772940
133bb9180b6
14224280c5a
1513a5e849c
hexbe5f2dc0

3193908672 has 112 divisors (see below), whose sum is σ = 8959526912. Its totient is φ = 1002378240.

The previous prime is 3193908671. The next prime is 3193908673. The reversal of 3193908672 is 2768093913.

It is an interprime number because it is at equal distance from previous prime (3193908671) and next prime (3193908673).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3193908671) 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, 212973 + ... + 227475.

It is an arithmetic number, because the mean of its divisors is an integer number (79995776).

Almost surely, 23193908672 is an apocalyptic number.

3193908672 is a gapful number since it is divisible by the number (32) 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 3193908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479763456).

3193908672 is an abundant number, since it is smaller than the sum of its proper divisors (5765618240).

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

3193908672 is a wasteful number, since it uses less digits than its factorization.

3193908672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14586 (or 14576 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 3193908672 is about 56514.6766070549. The cubic root of 3193908672 is about 1472.6769786984.

The spelling of 3193908672 in words is "three billion, one hundred ninety-three million, nine hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 148 186 192 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 1984 2294 2368 2976 3441 3552 4588 5952 6882 7104 9176 13764 14503 18352 27528 29006 36704 43509 55056 58012 73408 87018 110112 116024 174036 220224 232048 348072 449593 464096 536611 696144 899186 928192 1073222 1348779 1392288 1609833 1798372 2146444 2697558 2784576 3219666 3596744 4292888 5395116 6439332 7193488 8585776 10790232 12878664 14386976 16634941 17171552 21580464 25757328 28773952 33269882 34343104 43160928 49904823 51514656 66539764 86321856 99809646 103029312 133079528 199619292 266159056 399238584 532318112 798477168 1064636224 1596954336 3193908672