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492670152 = 2332132192131
BaseRepresentation
bin11101010111011…
…000110011001000
31021100001020101200
4131113120303020
52002110421102
6120515344200
715131425062
oct3527306310
91240036350
10492670152
11233110417
12118bb2060
137b0b9a00
1449608732
152d3bb51c
hex1d5d8cc8

492670152 has 144 divisors (see below), whose sum is σ = 1521608400. Its totient is φ = 143544960.

The previous prime is 492670127. The next prime is 492670153. The reversal of 492670152 is 251076294.

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

It is not an unprimeable number, because it can be changed into a prime (492670153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230127 + ... + 232257.

It is an arithmetic number, because the mean of its divisors is an integer number (10566725).

Almost surely, 2492670152 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 492670152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760804200).

492670152 is an abundant number, since it is smaller than the sum of its proper divisors (1028938248).

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

492670152 is a wasteful number, since it uses less digits than its factorization.

492670152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 492670152 is about 22196.1742649494. The cubic root of 492670152 is about 789.8029482358.

It can be divided in two parts, 4926 and 70152, that added together give a triangular number (75078 = T387).

The spelling of 492670152 in words is "four hundred ninety-two million, six hundred seventy thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 169 171 228 234 247 312 338 342 456 468 494 507 676 684 741 936 988 1014 1352 1368 1482 1521 1976 2028 2131 2223 2964 3042 3211 4056 4262 4446 5928 6084 6393 6422 8524 8892 9633 12168 12786 12844 17048 17784 19179 19266 25572 25688 27703 28899 38358 38532 40489 51144 55406 57798 76716 77064 80978 83109 110812 115596 121467 153432 161956 166218 221624 231192 242934 249327 323912 332436 360139 364401 485868 498654 526357 664872 720278 728802 971736 997308 1052714 1080417 1440556 1457604 1579071 1994616 2105428 2160834 2881112 2915208 3158142 3241251 4210856 4321668 4737213 6316284 6482502 6842641 8643336 9474426 12632568 12965004 13685282 18948852 20527923 25930008 27370564 37897704 41055846 54741128 61583769 82111692 123167538 164223384 246335076 492670152