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490673232 = 243274710357
BaseRepresentation
bin11101001111110…
…001010001010000
31021012021210010200
4131033301101100
52001103020412
6120404455200
715105440130
oct3517612120
91235253120
10490673232
11231a77075
121183aa500
137a86aaba
1449248ac0
152d1249dc
hex1d3f1450

490673232 has 120 divisors (see below), whose sum is σ = 1602921216. Its totient is φ = 137196288.

The previous prime is 490673213. The next prime is 490673257. The reversal of 490673232 is 232376094.

It is a happy number.

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

It is a congruent number.

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, 42198 + ... + 52554.

Almost surely, 2490673232 is an apocalyptic number.

490673232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490673232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801460608).

490673232 is an abundant number, since it is smaller than the sum of its proper divisors (1112247984).

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

490673232 is a wasteful number, since it uses less digits than its factorization.

490673232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10425 (or 10416 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 490673232 is about 22151.1451622710. The cubic root of 490673232 is about 788.7344111318.

The spelling of 490673232 in words is "four hundred ninety million, six hundred seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2256 2632 2961 3384 3948 5264 5922 6768 7896 10357 11844 15792 20714 23688 31071 41428 47376 62142 72499 82856 93213 124284 144998 165712 186426 217497 248568 289996 372852 434994 486779 497136 579992 652491 745704 869988 973558 1159984 1304982 1460337 1491408 1739976 1947116 2609964 2920674 3407453 3479952 3894232 4381011 5219928 5841348 6814906 7788464 8762022 10222359 10439856 11682696 13629812 17524044 20444718 23365392 27259624 30667077 35048088 40889436 54519248 61334154 70096176 81778872 122668308 163557744 245336616 490673232