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550150040 = 235113747719
BaseRepresentation
bin100000110010101…
…001111110011000
31102100012111222102
4200302221332120
52111314300130
6130331342532
716430124656
oct4062517630
91370174872
10550150040
112625aa960
121342b1a48
1389c9388b
14530cbdd6
1533472645
hex20ca9f98

550150040 has 128 divisors (see below), whose sum is σ = 1418342400. Its totient is φ = 190241280.

The previous prime is 550150031. The next prime is 550150049. The reversal of 550150040 is 40051055.

It is an interprime number because it is at equal distance from previous prime (550150031) and next prime (550150049).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 550149994 and 550150021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550150049) 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, 764801 + ... + 765519.

It is an arithmetic number, because the mean of its divisors is an integer number (11080800).

Almost surely, 2550150040 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 550150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709171200).

550150040 is an abundant number, since it is smaller than the sum of its proper divisors (868192360).

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

550150040 is a wasteful number, since it uses less digits than its factorization.

550150040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 550150040 is about 23455.2774445326. The cubic root of 550150040 is about 819.3957674410.

The spelling of 550150040 in words is "five hundred fifty million, one hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 47 55 74 88 94 110 148 185 188 220 235 296 370 376 407 440 470 517 719 740 814 940 1034 1438 1480 1628 1739 1880 2035 2068 2585 2876 3256 3478 3595 4070 4136 5170 5752 6956 7190 7909 8140 8695 10340 13912 14380 15818 16280 17390 19129 20680 26603 28760 31636 33793 34780 38258 39545 53206 63272 67586 69560 76516 79090 95645 106412 133015 135172 153032 158180 168965 191290 212824 266030 270344 292633 316360 337930 371723 382580 532060 585266 675860 743446 765160 1064120 1170532 1250341 1351720 1463165 1486892 1858615 2341064 2500682 2926330 2973784 3717230 5001364 5852660 6251705 7434460 10002728 11705320 12503410 13753751 14868920 25006820 27507502 50013640 55015004 68768755 110030008 137537510 275075020 550150040