Search a number
-
+
728053050 = 235217535387
BaseRepresentation
bin101011011001010…
…011010100111010
31212201221221000210
4223121103110322
52442340144200
6200124411550
724020230434
oct5331232472
91781857023
10728053050
11343a7003a
121839a6bb6
13b7ab212a
146c99b654
1543db4650
hex2b65353a

728053050 has 96 divisors (see below), whose sum is σ = 1948214592. Its totient is φ = 179246080.

The previous prime is 728053049. The next prime is 728053061. The reversal of 728053050 is 50350827.

It is a happy number.

It is a super-2 number, since 2×7280530502 = 1060122487228605000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 728052999 and 728053017.

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, 132457 + ... + 137843.

It is an arithmetic number, because the mean of its divisors is an integer number (20293902).

Almost surely, 2728053050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728053050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974107296).

728053050 is an abundant number, since it is smaller than the sum of its proper divisors (1220161542).

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

728053050 is a wasteful number, since it uses less digits than its factorization.

728053050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 728053050 is about 26982.4581904614. The cubic root of 728053050 is about 899.6101397875.

It can be divided in two parts, 72805 and 3050, that added together give a triangular number (75855 = T389).

The spelling of 728053050 in words is "seven hundred twenty-eight million, fifty-three thousand, fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 53 75 85 102 106 150 159 170 255 265 318 425 510 530 795 850 901 1275 1325 1590 1802 2550 2650 2703 3975 4505 5387 5406 7950 9010 10774 13515 16161 22525 26935 27030 32322 45050 53870 67575 80805 91579 134675 135150 161610 183158 269350 274737 285511 404025 457895 549474 571022 808050 856533 915790 1373685 1427555 1713066 2289475 2747370 2855110 4282665 4578950 4853687 6868425 7137775 8565330 9707374 13736850 14275550 14561061 21413325 24268435 29122122 42826650 48536870 72805305 121342175 145610610 242684350 364026525 728053050