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2187317952 = 26331279967
BaseRepresentation
bin1000001001011111…
…1101001011000000
312122102211021011000
42002113331023000
513434423133302
61001013452000
7105126616161
oct20227751300
95572737130
102187317952
11a22758396
12510641000
1328b2110a1
1416a6d9768
15cc06431c
hex825fd2c0

2187317952 has 112 divisors (see below), whose sum is σ = 6481592320. Its totient is φ = 723292416.

The previous prime is 2187317941. The next prime is 2187317969. The reversal of 2187317952 is 2597137812.

It is a junction number, because it is equal to n+sod(n) for n = 2187317898 and 2187317907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214473 + ... + 224439.

It is an arithmetic number, because the mean of its divisors is an integer number (57871360).

Almost surely, 22187317952 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 2187317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240796160).

2187317952 is an abundant number, since it is smaller than the sum of its proper divisors (4294274368).

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

2187317952 is a wasteful number, since it uses less digits than its factorization.

2187317952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115 (or 10099 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 2187317952 is about 46768.7711191988. The cubic root of 2187317952 is about 1298.0875136765.

The spelling of 2187317952 in words is "two billion, one hundred eighty-seven million, three hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 144 192 216 254 288 381 432 508 576 762 864 1016 1143 1524 1728 2032 2286 3048 3429 4064 4572 6096 6858 8128 9144 9967 12192 13716 18288 19934 24384 27432 29901 36576 39868 54864 59802 73152 79736 89703 109728 119604 159472 179406 219456 239208 269109 318944 358812 478416 538218 637888 717624 956832 1076436 1265809 1435248 1913664 2152872 2531618 2870496 3797427 4305744 5063236 5740992 7594854 8611488 10126472 11392281 15189708 17222976 20252944 22784562 30379416 34176843 40505888 45569124 60758832 68353686 81011776 91138248 121517664 136707372 182276496 243035328 273414744 364552992 546829488 729105984 1093658976 2187317952