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8005538388 = 2234754126237
BaseRepresentation
bin1110111010010101…
…01101001001010100
3202122220211111010210
413131022231021110
5112343404212023
63402214245420
7402245645031
oct73512551124
922586744123
108005538388
113438a10531
121675056870
139a7731c83
1455d30a388
1531cc41593
hex1dd2ad254

8005538388 has 48 divisors (see below), whose sum is σ = 19113018624. Its totient is φ = 2606808960.

The previous prime is 8005538383. The next prime is 8005538417. The reversal of 8005538388 is 8838355008.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005538381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292006 + ... + 318242.

It is an arithmetic number, because the mean of its divisors is an integer number (398187888).

Almost surely, 28005538388 is an apocalyptic number.

It is an amenable number.

8005538388 is an abundant number, since it is smaller than the sum of its proper divisors (11107480236).

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

8005538388 is a wasteful number, since it uses less digits than its factorization.

8005538388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26832 (or 26830 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 8005538388 is about 89473.6742734979. The cubic root of 8005538388 is about 2000.4614258682.

The spelling of 8005538388 in words is "eight billion, five million, five hundred thirty-eight thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 541 564 1082 1623 2164 3246 6492 25427 26237 50854 52474 76281 78711 101708 104948 152562 157422 305124 314844 1233139 2466278 3699417 4932556 7398834 14194217 14797668 28388434 42582651 56776868 85165302 170330604 667128199 1334256398 2001384597 2668512796 4002769194 8005538388