Search a number
-
+
497991936 = 28313311609
BaseRepresentation
bin11101101011101…
…100000100000000
31021201001121111210
4131223230010000
52004441220221
6121225410120
715224601351
oct3553540400
91251047453
10497991936
11236115792
1211a939940
137c2310b0
144a1d1d28
152dabd276
hex1daec100

497991936 has 144 divisors (see below), whose sum is σ = 1474296320. Its totient is φ = 148193280.

The previous prime is 497991887. The next prime is 497991937. The reversal of 497991936 is 639199794.

It is not an unprimeable number, because it can be changed into a prime (497991937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308700 + ... + 310308.

Almost surely, 2497991936 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 497991936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737148160).

497991936 is an abundant number, since it is smaller than the sum of its proper divisors (976304384).

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

497991936 is a wasteful number, since it uses less digits than its factorization.

497991936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1658 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 57.

The square root of 497991936 is about 22315.7329254497. The cubic root of 497991936 is about 792.6365660753.

The spelling of 497991936 in words is "four hundred ninety-seven million, nine hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 496 624 744 768 806 832 992 1209 1248 1488 1609 1612 1664 1984 2418 2496 2976 3218 3224 3328 3968 4827 4836 4992 5952 6436 6448 7936 9654 9672 9984 11904 12872 12896 19308 19344 20917 23808 25744 25792 38616 38688 41834 49879 51488 51584 62751 77232 77376 83668 99758 102976 103168 125502 149637 154464 154752 167336 199516 205952 251004 299274 308928 309504 334672 399032 411904 502008 598548 617856 648427 669344 798064 1004016 1197096 1235712 1296854 1338688 1596128 1945281 2008032 2394192 2593708 2677376 3192256 3890562 4016064 4788384 5187416 5354752 6384512 7781124 8032128 9576768 10374832 12769024 15562248 16064256 19153536 20749664 31124496 38307072 41499328 62248992 82998656 124497984 165997312 248995968 497991936