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2953598142 = 231131632269
BaseRepresentation
bin1011000000001100…
…0101010010111110
321121211201022221210
42300003011102332
522022110120032
61205025505250
7133123112205
oct26003052276
97554638853
102953598142
111286258000
126a51a2226
13380bb8b11
142003a823c
1512447a2cc
hexb00c54be

2953598142 has 64 divisors (see below), whose sum is σ = 6540215040. Its totient is φ = 889146720.

The previous prime is 2953598113. The next prime is 2953598143. The reversal of 2953598142 is 2418953592.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2953598091 and 2953598100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2953598143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1300584 + ... + 1302852.

It is an arithmetic number, because the mean of its divisors is an integer number (102190860).

Almost surely, 22953598142 is an apocalyptic number.

2953598142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2953598142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270107520).

2953598142 is an abundant number, since it is smaller than the sum of its proper divisors (3586616898).

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

2953598142 is a wasteful number, since it uses less digits than its factorization.

2953598142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2448 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 2953598142 is about 54347.0159438400. The cubic root of 2953598142 is about 1434.7750042012.

The spelling of 2953598142 in words is "two billion, nine hundred fifty-three million, five hundred ninety-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 163 242 326 363 489 726 978 1331 1793 2269 2662 3586 3993 4538 5379 6807 7986 10758 13614 19723 24959 39446 49918 59169 74877 118338 149754 216953 274549 369847 433906 549098 650859 739694 823647 1109541 1301718 1647294 2219082 3020039 4068317 6040078 8136634 9060117 12204951 18120234 24409902 44751487 89502974 134254461 268508922 492266357 984532714 1476799071 2953598142