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3893679552 = 26372413869
BaseRepresentation
bin1110100000010100…
…1101010111000000
3101001100122102012210
43220011031113000
530433240221202
61442211022120
7165326505300
oct35005152700
911040572183
103893679552
111718976094
12907b9a940
134a08a70c9
1428d199600
1517bc72c6c
hexe814d5c0

3893679552 has 84 divisors (see below), whose sum is σ = 11984019720. Its totient is φ = 1112477184.

The previous prime is 3893679539. The next prime is 3893679553. The reversal of 3893679552 is 2559763983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 3893679492 and 3893679501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3893679553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197527 + ... + 216342.

Almost surely, 23893679552 is an apocalyptic number.

3893679552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3893679552 is an abundant number, since it is smaller than the sum of its proper divisors (8090340168).

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

3893679552 is a wasteful number, since it uses less digits than its factorization.

3893679552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413898 (or 413881 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 57.

The square root of 3893679552 is about 62399.3553812858. The cubic root of 3893679552 is about 1573.2101346285.

The spelling of 3893679552 in words is "three billion, eight hundred ninety-three million, six hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 413869 827738 1241607 1655476 2483214 2897083 3310952 4966428 5794166 6621904 8691249 9932856 11588332 13243808 17382498 19865712 20279581 23176664 26487616 34764996 39731424 40559162 46353328 60838743 69529992 79462848 81118324 92706656 121677486 139059984 162236648 185413312 243354972 278119968 324473296 486709944 556239936 648946592 973419888 1297893184 1946839776 3893679552