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3895242504 = 23317312631171
BaseRepresentation
bin1110100000101100…
…1010111100001000
3101001110120211011220
43220023022330020
530434140230004
61442304322040
7165346005066
oct35013127410
911043524156
103895242504
11171984338a
12908613320
134a100362a
1428d485036
1517be80dd9
hexe82caf08

3895242504 has 128 divisors (see below), whose sum is σ = 10693140480. Its totient is φ = 1177113600.

The previous prime is 3895242479. The next prime is 3895242509. The reversal of 3895242504 is 4052425983.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3895242509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3325839 + ... + 3327009.

It is an arithmetic number, because the mean of its divisors is an integer number (83540160).

Almost surely, 23895242504 is an apocalyptic number.

3895242504 is a gapful number since it is divisible by the number (34) 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 3895242504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346570240).

3895242504 is an abundant number, since it is smaller than the sum of its proper divisors (6797897976).

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

3895242504 is a wasteful number, since it uses less digits than its factorization.

3895242504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 3895242504 is about 62411.8779079752. The cubic root of 3895242504 is about 1573.4206058950.

The spelling of 3895242504 in words is "three billion, eight hundred ninety-five million, two hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 263 372 408 526 527 744 789 1052 1054 1171 1578 1581 2104 2108 2342 3156 3162 3513 4216 4471 4684 6312 6324 7026 8153 8942 9368 12648 13413 14052 16306 17884 19907 24459 26826 28104 32612 35768 36301 39814 48918 53652 59721 65224 72602 79628 97836 107304 108903 119442 138601 145204 159256 195672 217806 238884 277202 290408 307973 415803 435612 477768 554404 615946 617117 831606 871224 923919 1108808 1231892 1234234 1663212 1847838 1851351 2463784 2468468 3326424 3695676 3702702 4936936 5235541 7391352 7405404 9547163 10471082 14810808 15706623 19094326 20942164 28641489 31413246 38188652 41884328 57282978 62826492 76377304 114565956 125652984 162301771 229131912 324603542 486905313 649207084 973810626 1298414168 1947621252 3895242504