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3131048484 = 22323137191397
BaseRepresentation
bin1011101010100000…
…0000001000100100
322002012121202001200
42322220000020210
522403022022414
61234405122500
7140406321144
oct27250001044
98065552050
103131048484
111367439083
127346b9430
133ab8a9315
14219b9a924
15134d2d109
hexbaa00224

3131048484 has 144 divisors (see below), whose sum is σ = 8455888896. Its totient is φ = 975110400.

The previous prime is 3131048477. The next prime is 3131048497. The reversal of 3131048484 is 4848401313.

3131048484 is a `hidden beast` number, since 3 + 131 + 0 + 48 + 484 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7886574 + ... + 7886970.

Almost surely, 23131048484 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 3131048484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227944448).

3131048484 is an abundant number, since it is smaller than the sum of its proper divisors (5324840412).

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

3131048484 is a wasteful number, since it uses less digits than its factorization.

3131048484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3131048484 is about 55955.7725708438. The cubic root of 3131048484 is about 1462.9515078443.

Adding to 3131048484 its reverse (4848401313), we get a palindrome (7979449797).

The spelling of 3131048484 in words is "three billion, one hundred thirty-one million, forty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 191 222 279 333 372 382 397 444 558 573 666 764 794 1116 1146 1147 1191 1332 1588 1719 2292 2294 2382 3438 3441 3573 4588 4764 5921 6876 6882 7067 7146 10323 11842 12307 13764 14134 14292 14689 17763 20646 21201 23684 24614 28268 29378 35526 36921 41292 42402 44067 49228 53289 58756 63603 71052 73842 75827 84804 88134 106578 110763 127206 132201 147684 151654 176268 213156 219077 221526 227481 254412 264402 303308 438154 443052 454962 455359 528804 657231 682443 876308 909924 910718 1314462 1364886 1366077 1821436 1971693 2350637 2628924 2729772 2732154 2805599 3943386 4098231 4701274 5464308 5611198 7051911 7886772 8196462 8416797 9402548 11222396 14103822 16392924 16833594 21155733 25250391 28207644 33667188 42311466 50500782 84622932 86973569 101001564 173947138 260920707 347894276 521841414 782762121 1043682828 1565524242 3131048484