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4717053440 = 29511237283
BaseRepresentation
bin1000110010010100…
…01000011000000000
3110011201222010211222
410121022020120000
534130031202230
62100022454212
7224615202251
oct43112103000
913151863758
104717053440
112000721080
12ab7894368
135a2351ca8
1432a68ab28
151c91b56e5
hex119288600

4717053440 has 160 divisors (see below), whose sum is σ = 12876247296. Its totient is φ = 1640488960.

The previous prime is 4717053437. The next prime is 4717053457. The reversal of 4717053440 is 443507174.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 4717053440.

It is a congruent number.

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, 644039 + ... + 651321.

Almost surely, 24717053440 is an apocalyptic number.

4717053440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4717053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438123648).

4717053440 is an abundant number, since it is smaller than the sum of its proper divisors (8159193856).

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

4717053440 is a wasteful number, since it uses less digits than its factorization.

4717053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 4717053440 is about 68680.8083819636. The cubic root of 4717053440 is about 1677.0921732197.

The spelling of 4717053440 in words is "four billion, seven hundred seventeen million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 256 320 352 368 440 460 506 512 640 704 736 880 920 1012 1265 1280 1408 1472 1760 1840 2024 2530 2560 2816 2944 3520 3680 4048 5060 5632 5888 7040 7283 7360 8096 10120 11776 14080 14566 14720 16192 20240 28160 29132 29440 32384 36415 40480 58264 58880 64768 72830 80113 80960 116528 129536 145660 160226 161920 167509 233056 291320 320452 323840 335018 400565 466112 582640 640904 647680 670036 801130 837545 932224 1165280 1281808 1340072 1602260 1675090 1842599 1864448 2330560 2563616 2680144 3204520 3350180 3685198 3728896 4661120 5127232 5360288 6409040 6700360 7370396 9212995 9322240 10254464 10720576 12818080 13400720 14740792 18425990 18644480 20508928 21441152 25636160 26801440 29481584 36851980 41017856 42882304 51272320 53602880 58963168 73703960 85764608 102544640 107205760 117926336 147407920 205089280 214411520 235852672 294815840 428823040 471705344 589631680 943410688 1179263360 2358526720 4717053440