Search a number
-
+
8742970392 = 233131713112583
BaseRepresentation
bin10000010010001111…
…10010010000011000
3211120022102220200020
420021013302100120
5120401200023032
64003320110440
7426442010412
oct101107622030
924508386606
108742970392
1137871a7072
121840005420
13a94449080
145cd2299b2
15362859b2c
hex2091f2418

8742970392 has 128 divisors (see below), whose sum is σ = 25115650560. Its totient is φ = 2512373760.

The previous prime is 8742970367. The next prime is 8742970433. The reversal of 8742970392 is 2930792478.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688533 + ... + 701115.

It is an arithmetic number, because the mean of its divisors is an integer number (196216020).

Almost surely, 28742970392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8742970392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12557825280).

8742970392 is an abundant number, since it is smaller than the sum of its proper divisors (16372680168).

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

8742970392 is a wasteful number, since it uses less digits than its factorization.

8742970392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12753 (or 12749 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 8742970392 is about 93503.8522842776. The cubic root of 8742970392 is about 2060.0906731069.

The spelling of 8742970392 in words is "eight billion, seven hundred forty-two million, nine hundred seventy thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 131 136 156 204 221 262 312 393 408 442 524 663 786 884 1048 1326 1572 1703 1768 2227 2652 3144 3406 4454 5109 5304 6681 6812 8908 10218 12583 13362 13624 17816 20436 25166 26724 28951 37749 40872 50332 53448 57902 75498 86853 100664 115804 150996 163579 173706 213911 231608 301992 327158 347412 427822 490737 641733 654316 694824 855644 981474 1283466 1308632 1648373 1711288 1962948 2566932 2780843 3296746 3925896 4945119 5133864 5561686 6593492 8342529 9890238 11123372 13186984 16685058 19780476 21428849 22246744 28022341 33370116 39560952 42857698 56044682 64286547 66740232 84067023 85715396 112089364 128573094 168134046 171430792 224178728 257146188 336268092 364290433 514292376 672536184 728580866 1092871299 1457161732 2185742598 2914323464 4371485196 8742970392