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9252666472 = 23743141379
BaseRepresentation
bin10001001111000000…
…00111110001101000
3212212211112011020211
420213200013301220
5122422140311342
64130044430504
7445201240000
oct104740076150
925784464224
109252666472
113a189862a5
121962848434
13b45c1759a
1463abc7000
1539248ac17
hex227807c68

9252666472 has 160 divisors (see below), whose sum is σ = 21457900800. Its totient is φ = 3734035200.

The previous prime is 9252666469. The next prime is 9252666509. The reversal of 9252666472 is 2746662529.

It is a happy number.

It is a super-2 number, since 2×92526664722 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24413179 + ... + 24413557.

It is an arithmetic number, because the mean of its divisors is an integer number (134111880).

Almost surely, 29252666472 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 9252666472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728950400).

9252666472 is an abundant number, since it is smaller than the sum of its proper divisors (12205234328).

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

9252666472 is a wasteful number, since it uses less digits than its factorization.

9252666472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 460 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

The square root of 9252666472 is about 96190.7816373274. The cubic root of 9252666472 is about 2099.3699146714.

The spelling of 9252666472 in words is "nine billion, two hundred fifty-two million, six hundred sixty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 31 41 49 56 62 82 98 124 164 196 217 248 287 328 343 379 392 434 574 686 758 868 1148 1271 1372 1516 1519 1736 2009 2296 2401 2542 2653 2744 3032 3038 4018 4802 5084 5306 6076 8036 8897 9604 10168 10612 10633 11749 12152 14063 15539 16072 17794 18571 19208 21224 21266 23498 28126 31078 35588 37142 42532 46996 56252 62156 62279 71176 74284 74431 82243 85064 93992 98441 108773 112504 124312 124558 129997 148568 148862 164486 196882 217546 249116 259994 297724 328972 393764 435092 435953 481709 498232 519988 575701 595448 657944 761411 787528 870184 871906 909979 963418 1039976 1151402 1522822 1743812 1819958 1926836 2302804 3045644 3051671 3371963 3487624 3639916 3853672 4029907 4605608 5329877 6091288 6103342 6743926 7279832 8059814 10659754 12206684 13487852 16119628 21319508 23603741 24413368 26975704 28209349 32239256 37309139 42639016 47207482 56418698 74618278 94414964 112837396 149236556 165226187 188829928 225674792 298473112 330452374 660904748 1156583309 1321809496 2313166618 4626333236 9252666472