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997469424 = 243371719403
BaseRepresentation
bin111011011101000…
…010110011110000
32120111220200211000
4323131002303300
54020323010144
6242551122000
733501231060
oct7335026360
92514820730
10997469424
114720555a6
1223a073300
1312b8623c3
149668d3a0
155c881769
hex3b742cf0

997469424 has 160 divisors (see below), whose sum is σ = 3464778240. Its totient is φ = 268213248.

The previous prime is 997469383. The next prime is 997469453. The reversal of 997469424 is 424964799.

997469424 is a `hidden beast` number, since 99 + 74 + 69 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41707 + ... + 61109.

It is an arithmetic number, because the mean of its divisors is an integer number (21654864).

Almost surely, 2997469424 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 997469424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732389120).

997469424 is an abundant number, since it is smaller than the sum of its proper divisors (2467308816).

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

997469424 is a wasteful number, since it uses less digits than its factorization.

997469424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19444 (or 19432 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 997469424 is about 31582.7393365427. The cubic root of 997469424 is about 999.1557621297.

The spelling of 997469424 in words is "nine hundred ninety-seven million, four hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 19403 25704 38806 51408 58209 77612 116418 135821 155224 174627 232836 271642 310448 329851 349254 407463 465672 523881 543284 659702 698508 814926 931344 989553 1047762 1086568 1222389 1319404 1397016 1629852 1979106 2095524 2173136 2308957 2444778 2638808 2794032 2968659 3259704 3667167 3958212 4191048 4617914 4889556 5277616 5937318 6519408 6926871 7334334 7916424 8382096 8905977 9235828 9779112 11874636 13853742 14668668 15832848 17811954 18471656 19558224 20780613 23749272 27707484 29337336 35623908 36943312 41561226 47498544 55414968 58674672 62341839 71247816 83122452 110829936 124683678 142495632 166244904 249367356 332489808 498734712 997469424