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914124484 = 227137983383
BaseRepresentation
bin110110011111000…
…110111011000100
32100201002100001101
4312133012323010
53333003440414
6230412505444
731436633650
oct6637067304
92321070041
10914124484
11429aaa289
1221617b284
13117500680
1489595a60
15553bba74
hex367c6ec4

914124484 has 96 divisors (see below), whose sum is σ = 2023096320. Its totient is φ = 351831168.

The previous prime is 914124481. The next prime is 914124511. The reversal of 914124484 is 484421419.

It is a super-3 number, since 3×9141244843 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (914124481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2386557 + ... + 2386939.

It is an arithmetic number, because the mean of its divisors is an integer number (21073920).

Almost surely, 2914124484 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 914124484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011548160).

914124484 is an abundant number, since it is smaller than the sum of its proper divisors (1108971836).

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

914124484 is a wasteful number, since it uses less digits than its factorization.

914124484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 567 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 914124484 is about 30234.4916279404. The cubic root of 914124484 is about 970.5139459438.

The spelling of 914124484 in words is "nine hundred fourteen million, one hundred twenty-four thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 52 79 83 91 158 166 182 316 332 364 383 553 581 766 1027 1079 1106 1162 1532 2054 2158 2212 2324 2681 4108 4316 4979 5362 6557 7189 7553 9958 10724 13114 14378 15106 19916 26228 28756 30212 30257 31789 34853 45899 60514 63578 69706 85241 91798 121028 127156 139412 170482 183596 211799 222523 340964 393341 413257 423598 445046 596687 786682 826514 847196 890092 1193374 1573364 1653028 2386748 2511331 2753387 2892799 5022662 5506774 5785598 10045324 11013548 11571196 17579317 32647303 35158634 65294606 70317268 130589212 228531121 457062242 914124484