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497430072 = 23343720747
BaseRepresentation
bin11101101001100…
…010111000111000
31021200000001210000
4131221202320320
52004320230242
6121205353000
715220041306
oct3551427070
91250001700
10497430072
11235871637
1211a708760
137c095429
144a0c7276
152da0ba4c
hex1da62e38

497430072 has 80 divisors (see below), whose sum is σ = 1430989560. Its totient is φ = 161320896.

The previous prime is 497430071. The next prime is 497430077. The reversal of 497430072 is 270034794.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497430071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13603 + ... + 34349.

Almost surely, 2497430072 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 497430072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715494780).

497430072 is an abundant number, since it is smaller than the sum of its proper divisors (933559488).

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

497430072 is a wasteful number, since it uses less digits than its factorization.

497430072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20802 (or 20789 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 497430072 is about 22303.1404066782. The cubic root of 497430072 is about 792.3383540522.

The spelling of 497430072 in words is "four hundred ninety-seven million, four hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2997 3996 5994 7992 11988 20747 23976 41494 62241 82988 124482 165976 186723 248964 373446 497928 560169 746892 767639 1120338 1493784 1535278 1680507 2240676 2302917 3070556 3361014 4481352 4605834 6141112 6722028 6908751 9211668 13444056 13817502 18423336 20726253 27635004 41452506 55270008 62178759 82905012 124357518 165810024 248715036 497430072