Search a number
-
+
2454139248 = 2431167173401
BaseRepresentation
bin1001001001000111…
…0011000101110000
320100000220012011020
42102101303011300
520011224423443
61043304415440
7114546560631
oct22221630560
96300805136
102454139248
11104a330160
12585a77580
13301593102
14193d13888
15e56bc583
hex92473170

2454139248 has 160 divisors (see below), whose sum is σ = 7077618432. Its totient is φ = 726528000.

The previous prime is 2454139243. The next prime is 2454139271. The reversal of 2454139248 is 8429314542.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2454139243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6119848 + ... + 6120248.

Almost surely, 22454139248 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 2454139248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538809216).

2454139248 is an abundant number, since it is smaller than the sum of its proper divisors (4623479184).

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

2454139248 is a wasteful number, since it uses less digits than its factorization.

2454139248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 2454139248 is about 49539.2697564266. The cubic root of 2454139248 is about 1348.8585226258.

The spelling of 2454139248 in words is "two billion, four hundred fifty-four million, one hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 132 134 173 176 201 264 268 346 401 402 519 528 536 692 737 802 804 1038 1072 1203 1384 1474 1604 1608 1903 2076 2211 2406 2768 2948 3208 3216 3806 4152 4411 4422 4812 5709 5896 6416 7612 8304 8822 8844 9624 11418 11591 11792 13233 15224 17644 17688 19248 22836 23182 26466 26867 30448 34773 35288 35376 45672 46364 52932 53734 69373 69546 70576 80601 91344 92728 105864 107468 127501 138746 139092 161202 185456 208119 211728 214936 255002 277492 278184 295537 322404 382503 416238 429872 510004 554984 556368 591074 644808 763103 765006 832476 886611 1020008 1109968 1182148 1289616 1526206 1530012 1664952 1773222 2040016 2289309 2364296 3052412 3060024 3329904 3546444 4578618 4647991 4728592 6104824 6120048 7092888 9157236 9295982 12209648 13943973 14185776 18314472 18591964 27887946 36628944 37183928 51127901 55775892 74367856 102255802 111551784 153383703 204511604 223103568 306767406 409023208 613534812 818046416 1227069624 2454139248