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247138992 = 24332712111
BaseRepresentation
bin11101011101100…
…00101010110000
3122020000221222000
432232300222300
51001231421432
640305014000
76060434562
oct1656605260
9566027860
10247138992
1111755a201
126a924300
133c2803b9
1424b73332
1516a6b57c
hexebb0ab0

247138992 has 80 divisors (see below), whose sum is σ = 712335360. Its totient is φ = 82036800.

The previous prime is 247138981. The next prime is 247139003. The reversal of 247138992 is 299831742.

247138992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (247138981) and next prime (247139003).

It is a super-2 number, since 2×2471389922 = 122155362733552128, which contains 22 as substring.

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, 116017 + ... + 118127.

It is an arithmetic number, because the mean of its divisors is an integer number (8904192).

Almost surely, 2247138992 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 247138992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356167680).

247138992 is an abundant number, since it is smaller than the sum of its proper divisors (465196368).

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

247138992 is a wasteful number, since it uses less digits than its factorization.

247138992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2387 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 247138992 is about 15720.6549481884. The cubic root of 247138992 is about 627.5482030451.

The spelling of 247138992 in words is "two hundred forty-seven million, one hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 271 432 542 813 1084 1626 2111 2168 2439 3252 4222 4336 4878 6333 6504 7317 8444 9756 12666 13008 14634 16888 18999 19512 25332 29268 33776 37998 39024 50664 56997 58536 75996 101328 113994 117072 151992 227988 303984 455976 572081 911952 1144162 1716243 2288324 3432486 4576648 5148729 6864972 9153296 10297458 13729944 15446187 20594916 27459888 30892374 41189832 61784748 82379664 123569496 247138992