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1950200424 = 2332174138861
BaseRepresentation
bin111010000111101…
…1011001001101000
312000220122110001100
41310033123021220
512443222403144
6521303321400
766220300344
oct16417331150
95026573040
101950200424
11910923497
12465150260
1325105c263
14147014624
15b6327269
hex743db268

1950200424 has 96 divisors (see below), whose sum is σ = 5729036040. Its totient is φ = 596889600.

The previous prime is 1950200419. The next prime is 1950200431. The reversal of 1950200424 is 4240020591.

1950200424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1765512324 + 184688100 = 42018^2 + 13590^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30754 + ... + 69614.

Almost surely, 21950200424 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 1950200424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864518020).

1950200424 is an abundant number, since it is smaller than the sum of its proper divisors (3778835616).

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

1950200424 is a wasteful number, since it uses less digits than its factorization.

1950200424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38931 (or 38924 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1950200424 is about 44161.0736282532. The cubic root of 1950200424 is about 1249.3757787835.

The spelling of 1950200424 in words is "one billion, nine hundred fifty million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 68 72 82 102 123 136 153 164 204 246 306 328 369 408 492 612 697 738 984 1224 1394 1476 2091 2788 2952 4182 5576 6273 8364 12546 16728 25092 38861 50184 77722 116583 155444 233166 310888 349749 466332 660637 699498 932664 1321274 1398996 1593301 1981911 2642548 2797992 3186602 3963822 4779903 5285096 5945733 6373204 7927644 9559806 11891466 12746408 14339709 15855288 19119612 23782932 27086117 28679418 38239224 47565864 54172234 57358836 81258351 108344468 114717672 162516702 216688936 243775053 325033404 487550106 650066808 975100212 1950200424