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3836068096 = 2874792
BaseRepresentation
bin1110010010100101…
…1100000100000000
3100220100020110011011
43210221130010000
530324013134341
61432352130304
7164030020000
oct34451340400
910810213134
103836068096
1116993a6813
128b0836994
134919853a3
14285680000
15176b92b81
hexe4a5c100

3836068096 has 135 divisors (see below), whose sum is σ = 9047316831. Its totient is φ = 1623218688.

The previous prime is 3836068091. The next prime is 3836068109. The reversal of 3836068096 is 6908606383.

The square root of 3836068096 is 61936.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3836068091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 48557785 + ... + 48557863.

Almost surely, 23836068096 is an apocalyptic number.

3836068096 is the 61936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3836068096

3836068096 is an abundant number, since it is smaller than the sum of its proper divisors (5211248735).

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

3836068096 is an frugal number, since it uses more digits than its factorization.

3836068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The cubic root of 3836068096 is about 1565.4123988116.

Multiplying 3836068096 by its sum of digits (49), we get a square (187967336704 = 4335522).

3836068096 divided by its sum of digits (49) gives a square (78287104 = 88482).

The spelling of 3836068096 in words is "three billion, eight hundred thirty-six million, sixty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 128 158 196 224 256 316 343 392 448 553 632 686 784 896 1106 1264 1372 1568 1792 2212 2401 2528 2744 3136 3871 4424 4802 5056 5488 6241 6272 7742 8848 9604 10112 10976 12482 12544 15484 17696 19208 20224 21952 24964 27097 30968 35392 38416 43687 43904 49928 54194 61936 70784 76832 87374 87808 99856 108388 123872 141568 153664 174748 189679 199712 216776 247744 305809 307328 349496 379358 399424 433552 495488 611618 614656 698992 758716 798848 867104 990976 1223236 1397984 1517432 1597696 1734208 2140663 2446472 2795968 3034864 3468416 4281326 4892944 5591936 6069728 6936832 8562652 9785888 11183872 12139456 14984641 17125304 19571776 24278912 29969282 34250608 39143552 48557824 59938564 68501216 78287104 119877128 137002432 239754256 274004864 479508512 548009728 959017024 1918034048 3836068096