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379137590 = 251319296779
BaseRepresentation
bin10110100110010…
…010111000110110
3222102102011222222
4112212102320312
51234024400330
6101342122342
712252421256
oct2646227066
9872364888
10379137590
11185016757
12a6b803b2
1360718790
14384d3966
15234420e5
hex16992e36

379137590 has 128 divisors (see below), whose sum is σ = 822528000. Its totient is φ = 124540416.

The previous prime is 379137581. The next prime is 379137593. The reversal of 379137590 is 95731973.

Together with 443390409 it forms a betrothed pair.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379137593) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4799171 + ... + 4799249.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2379137590 is an apocalyptic number.

379137590 is an abundant number, since it is smaller than the sum of its proper divisors (443390410).

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

379137590 is a wasteful number, since it uses less digits than its factorization.

379137590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 178605, while the sum is 44.

The square root of 379137590 is about 19471.4557750570. The cubic root of 379137590 is about 723.7672845156.

The spelling of 379137590 in words is "three hundred seventy-nine million, one hundred thirty-seven thousand, five hundred ninety".

Divisors: 1 2 5 10 13 19 26 29 38 58 65 67 79 95 130 134 145 158 190 247 290 335 377 395 494 551 670 754 790 871 1027 1102 1235 1273 1501 1742 1885 1943 2054 2291 2470 2546 2755 3002 3770 3886 4355 4582 5135 5293 5510 6365 7163 7505 8710 9715 10270 10586 11455 12730 14326 15010 16549 19430 19513 22910 25259 26465 29783 33098 35815 36917 39026 43529 50518 52930 59566 68809 71630 73834 82745 87058 97565 100567 126295 137618 148915 153497 165490 184585 195130 201134 217645 252590 297830 306994 344045 369170 435290 479921 502835 565877 688090 767485 959842 1005670 1131754 1307371 1534970 1995461 2399605 2614742 2829385 2916443 3990922 4799210 5658770 5832886 6536855 9977305 13073710 14582215 19954610 29164430 37913759 75827518 189568795 379137590