Search a number
-
+
495402936 = 23372478963
BaseRepresentation
bin11101100001110…
…011111110111000
31021112012002001220
4131201303332320
52003310343221
6121054112040
715163566300
oct3541637670
91245162056
10495402936
11234707616
12119aab620
137b835842
1449b1a600
152d75b0c6
hex1d873fb8

495402936 has 96 divisors (see below), whose sum is σ = 1471530240. Its totient is φ = 138516672.

The previous prime is 495402931. The next prime is 495402937. The reversal of 495402936 is 639204594.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495402931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50791 + ... + 59753.

It is an arithmetic number, because the mean of its divisors is an integer number (15328440).

Almost surely, 2495402936 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 495402936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735765120).

495402936 is an abundant number, since it is smaller than the sum of its proper divisors (976127304).

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

495402936 is a wasteful number, since it uses less digits than its factorization.

495402936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9033 (or 9022 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 495402936 is about 22257.6489324457. The cubic root of 495402936 is about 791.2605714742.

The spelling of 495402936 in words is "four hundred ninety-five million, four hundred two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 49 56 84 94 98 141 147 168 188 196 282 294 329 376 392 564 588 658 987 1128 1176 1316 1974 2303 2632 3948 4606 6909 7896 8963 9212 13818 17926 18424 26889 27636 35852 53778 55272 62741 71704 107556 125482 188223 215112 250964 376446 421261 439187 501928 752892 842522 878374 1263783 1317561 1505784 1685044 1756748 2527566 2635122 2948827 3370088 3513496 5055132 5270244 5897654 8846481 10110264 10540488 11795308 17692962 20641789 23590616 35385924 41283578 61925367 70771848 82567156 123850734 165134312 247701468 495402936