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3902001156 = 22322923592
BaseRepresentation
bin1110100010010011…
…1101000000000100
3101001221022012022100
43220210331000010
530442403014111
61443105232100
7165460314444
oct35044750004
911057265270
103902001156
11172263a249
1290a932630
134a252ba31
14290324124
1517c868756
hexe893d004

3902001156 has 81 divisors (see below), whose sum is σ = 10243770901. Its totient is φ = 1252318368.

The previous prime is 3902001151. The next prime is 3902001157. The reversal of 3902001156 is 6511002093.

The square root of 3902001156 is 62466.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2046114756 + 1855886400 = 45234^2 + 43080^2 .

It is a super-2 number, since 2×39020011562 = 30451226042850672672, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3902001151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10868905 + ... + 10869263.

Almost surely, 23902001156 is an apocalyptic number.

3902001156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3902001156 is the 62466-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3902001156

3902001156 is an abundant number, since it is smaller than the sum of its proper divisors (6341769745).

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

3902001156 is a wasteful number, since it uses less digits than its factorization.

3902001156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 3902001156 is about 1574.3300963612.

The spelling of 3902001156 in words is "three billion, nine hundred two million, one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 359 522 718 841 1044 1077 1436 1682 2154 2523 3231 3364 4308 5046 6462 7569 10092 10411 12924 15138 20822 30276 31233 41644 62466 93699 124932 128881 187398 257762 301919 374796 386643 515524 603838 773286 905757 1159929 1207676 1546572 1811514 2319858 2717271 3623028 3737549 4639716 5434542 7475098 10869084 11212647 14950196 22425294 33637941 44850588 67275882 108388921 134551764 216777842 325166763 433555684 650333526 975500289 1300667052 1951000578 3902001156