Search a number
-
+
523953990 = 232578211013
BaseRepresentation
bin11111001110101…
…110011101000110
31100111220121202100
4133032232131012
52033113011430
6123554052530
715661351440
oct3716563506
91314817670
10523953990
1124983842a
1212757a146
1384721161
144d82d490
1530eea960
hex1f3ae746

523953990 has 96 divisors (see below), whose sum is σ = 1560326976. Its totient is φ = 119496960.

The previous prime is 523953973. The next prime is 523954021. The reversal of 523953990 is 99359325.

523953990 is a `hidden beast` number, since 5 + 23 + 9 + 539 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516724 + ... + 517736.

It is an arithmetic number, because the mean of its divisors is an integer number (16253406).

Almost surely, 2523953990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523953990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780163488).

523953990 is an abundant number, since it is smaller than the sum of its proper divisors (1036372986).

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

523953990 is a wasteful number, since it uses less digits than its factorization.

523953990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The square root of 523953990 is about 22890.0412843664. The cubic root of 523953990 is about 806.1782009255.

The spelling of 523953990 in words is "five hundred twenty-three million, nine hundred fifty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 821 1013 1642 2026 2463 3039 4105 4926 5065 5747 6078 7091 7389 8210 9117 10130 11494 12315 14182 14778 15195 17241 18234 21273 24630 28735 30390 34482 35455 36945 42546 45585 51723 57470 63819 70910 73890 86205 91170 103446 106365 127638 172410 212730 258615 319095 517230 638190 831673 1663346 2495019 4158365 4990038 5821711 7485057 8316730 11643422 12475095 14970114 17465133 24950190 29108555 34930266 37425285 52395399 58217110 74850570 87325665 104790798 174651330 261976995 523953990