Search a number
-
+
495462144 = 28317137277
BaseRepresentation
bin11101100010000…
…010011100000000
31021112022002021210
4131202002130000
52003314242034
6121055250120
715164234022
oct3542023400
91245262253
10495462144
11234748051
12119b19940
137b856788
1449b34012
152d76d8e9
hex1d882700

495462144 has 144 divisors (see below), whose sum is σ = 1411488288. Its totient is φ = 153747456.

The previous prime is 495462131. The next prime is 495462157. The reversal of 495462144 is 441264594.

It is an interprime number because it is at equal distance from previous prime (495462131) and next prime (495462157).

It is a super-2 number, since 2×4954621442 = 490965472274153472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1788534 + ... + 1788810.

It is an arithmetic number, because the mean of its divisors is an integer number (9802002).

Almost surely, 2495462144 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 495462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705744144).

495462144 is an abundant number, since it is smaller than the sum of its proper divisors (916026144).

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

495462144 is a wasteful number, since it uses less digits than its factorization.

495462144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 495462144 is about 22258.9789523239. The cubic root of 495462144 is about 791.2920926772.

The spelling of 495462144 in words is "four hundred ninety-five million, four hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 137 192 204 256 272 274 277 384 408 411 544 548 554 768 816 822 831 1088 1096 1108 1632 1644 1662 2176 2192 2216 2329 3264 3288 3324 4352 4384 4432 4658 4709 6528 6576 6648 6987 8768 8864 9316 9418 13056 13152 13296 13974 14127 17536 17728 18632 18836 26304 26592 27948 28254 35072 35456 37264 37672 37949 52608 53184 55896 56508 70912 74528 75344 75898 105216 106368 111792 113016 113847 149056 150688 151796 212736 223584 226032 227694 298112 301376 303592 447168 452064 455388 596224 602752 607184 645133 894336 904128 910776 1205504 1214368 1290266 1788672 1808256 1821552 1935399 2428736 2580532 3616512 3643104 3870798 4857472 5161064 7286208 7741596 9714944 10322128 14572416 15483192 20644256 29144832 30966384 41288512 61932768 82577024 123865536 165154048 247731072 495462144