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4097784852 = 2232741613647
BaseRepresentation
bin1111010000111111…
…0011110000010100
3101120120201001001100
43310033303300110
531343013103402
61514341430100
7203355411420
oct36417636024
911516631040
104097784852
111813102457
1296440b330
13503c6ab85
142ac329b80
1518eb3d71c
hexf43f3c14

4097784852 has 144 divisors (see below), whose sum is σ = 12165334272. Its totient is φ = 1138613760.

The previous prime is 4097784833. The next prime is 4097784877. The reversal of 4097784852 is 2584877904.

It is a happy number.

4097784852 is a `hidden beast` number, since 4 + 0 + 97 + 78 + 485 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6333193 + ... + 6333839.

It is an arithmetic number, because the mean of its divisors is an integer number (84481488).

Almost surely, 24097784852 is an apocalyptic number.

4097784852 is a gapful number since it is divisible by the number (42) 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 4097784852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082667136).

4097784852 is an abundant number, since it is smaller than the sum of its proper divisors (8067549420).

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

4097784852 is a wasteful number, since it uses less digits than its factorization.

4097784852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 4097784852 is about 64013.9426375223. The cubic root of 4097784852 is about 1600.2323688555.

The spelling of 4097784852 in words is "four billion, ninety-seven million, seven hundred eighty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 613 647 738 861 1148 1226 1294 1476 1722 1839 1941 2452 2583 2588 3444 3678 3882 4291 4529 5166 5517 5823 7356 7764 8582 9058 10332 11034 11646 12873 13587 17164 18116 22068 23292 25133 25746 26527 27174 38619 40761 50266 51492 53054 54348 75399 77238 79581 81522 100532 106108 150798 154476 159162 163044 175931 185689 226197 238743 301596 318324 351862 371378 396611 452394 477486 527793 557067 703724 742756 793222 904788 954972 1055586 1114134 1189833 1583379 1586444 1671201 2111172 2228268 2379666 2776277 3166758 3342402 3569499 4759332 5552554 6333516 6684804 7138998 8328831 11105108 14277996 16261051 16657662 24986493 32522102 33315324 48783153 49972986 65044204 97566306 99945972 113827357 146349459 195132612 227654714 292698918 341482071 455309428 585397836 682964142 1024446213 1365928284 2048892426 4097784852