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452500048 = 2471113191487
BaseRepresentation
bin11010111110001…
…001101001010000
31011112110101101001
4122332021221100
51411320000143
6112522351344
714133121060
oct3276115120
91145411331
10452500048
11212473a90
1210765b554
1372993910
144414d3a0
1529ad414d
hex1af89a50

452500048 has 160 divisors (see below), whose sum is σ = 1239920640. Its totient is φ = 154068480.

The previous prime is 452500019. The next prime is 452500057. The reversal of 452500048 is 840005254.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 452499989 and 452500025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303561 + ... + 305047.

It is an arithmetic number, because the mean of its divisors is an integer number (7749504).

Almost surely, 2452500048 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 452500048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619960320).

452500048 is an abundant number, since it is smaller than the sum of its proper divisors (787420592).

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

452500048 is a wasteful number, since it uses less digits than its factorization.

452500048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 452500048 is about 21272.0485144238. The cubic root of 452500048 is about 767.7259312149.

It can be divided in two parts, 452 and 500048, that added together give a triangular number (500500 = T1000).

The spelling of 452500048 in words is "four hundred fifty-two million, five hundred thousand, forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 19 22 26 28 38 44 52 56 76 77 88 91 104 112 133 143 152 154 176 182 208 209 247 266 286 304 308 364 418 494 532 572 616 728 836 988 1001 1064 1144 1232 1456 1463 1487 1672 1729 1976 2002 2128 2288 2717 2926 2974 3344 3458 3952 4004 5434 5852 5948 6916 8008 10409 10868 11704 11896 13832 16016 16357 19019 19331 20818 21736 23408 23792 27664 28253 32714 38038 38662 41636 43472 56506 65428 76076 77324 83272 113012 114499 130856 135317 152152 154648 166544 197771 212641 226024 228998 261712 270634 304304 309296 310783 367289 395542 425282 452048 457996 541268 621566 734578 791084 850564 915992 1082536 1243132 1469156 1488487 1582168 1701128 1831984 2165072 2175481 2486264 2571023 2938312 2976974 3164336 3402256 4040179 4350962 4972528 5142046 5876624 5953948 8080358 8701924 10284092 11907896 16160716 17403848 20568184 23815792 28281253 32321432 34807696 41136368 56562506 64642864 113125012 226250024 452500048