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3878269956 = 2234116117839
BaseRepresentation
bin1110011100101001…
…1011010000000100
3101000021122112020000
43213022123100010
530420314114311
61440500441300
7165051515331
oct34712332004
911007575200
103878269956
111710200690
129029a9230
1349a6401c2
1428b107988
1517a72c056
hexe729b404

3878269956 has 120 divisors (see below), whose sum is σ = 11242197120. Its totient is φ = 1155902400.

The previous prime is 3878269943. The next prime is 3878269961. The reversal of 3878269956 is 6599628783.

It is a super-2 number, since 2×38782699562 = 30081955703224483872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3878269893 and 3878269902.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208485 + ... + 226323.

It is an arithmetic number, because the mean of its divisors is an integer number (93684976).

Almost surely, 23878269956 is an apocalyptic number.

3878269956 is a gapful number since it is divisible by the number (36) 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 3878269956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621098560).

3878269956 is an abundant number, since it is smaller than the sum of its proper divisors (7363927164).

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

3878269956 is a wasteful number, since it uses less digits than its factorization.

3878269956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17927 (or 17916 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 3878269956 is about 62275.7573699429. The cubic root of 3878269956 is about 1571.1320160211.

The spelling of 3878269956 in words is "three billion, eight hundred seventy-eight million, two hundred sixty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 81 99 108 122 132 162 183 198 244 297 324 366 396 549 594 671 732 891 1098 1188 1342 1647 1782 2013 2196 2684 3294 3564 4026 4941 6039 6588 8052 9882 12078 17839 18117 19764 24156 35678 36234 53517 54351 71356 72468 107034 108702 160551 196229 214068 217404 321102 392458 481653 588687 642204 784916 963306 1088179 1177374 1444959 1766061 1926612 2176358 2354748 2889918 3264537 3532122 4352716 5298183 5779836 6529074 7064244 9793611 10596366 11969969 13058148 15894549 19587222 21192732 23939938 29380833 31789098 35909907 39174444 47879876 58761666 63578196 71819814 88142499 107729721 117523332 143639628 176284998 215459442 323189163 352569996 430918884 646378326 969567489 1292756652 1939134978 3878269956