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452399328 = 253223163419
BaseRepresentation
bin11010111101110…
…001000011100000
31011112021021012200
4122331301003200
51411303234303
6112520253200
714132221323
oct3275610340
91145237180
10452399328
11212405347
12107611200
1372959b14
14441247ba
1529ab43a3
hex1af710e0

452399328 has 144 divisors (see below), whose sum is σ = 1353905280. Its totient is φ = 143016192.

The previous prime is 452399293. The next prime is 452399341. The reversal of 452399328 is 823993254.

It is a happy number.

452399328 is a `hidden beast` number, since 4 + 523 + 99 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1079503 + ... + 1079921.

It is an arithmetic number, because the mean of its divisors is an integer number (9402120).

Almost surely, 2452399328 is an apocalyptic number.

452399328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452399328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676952640).

452399328 is an abundant number, since it is smaller than the sum of its proper divisors (901505952).

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

452399328 is a wasteful number, since it uses less digits than its factorization.

452399328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 452399328 is about 21269.6809567045. The cubic root of 452399328 is about 767.6689654060.

The spelling of 452399328 in words is "four hundred fifty-two million, three hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 163 184 207 276 288 326 368 414 419 489 552 652 736 828 838 978 1104 1257 1304 1467 1656 1676 1956 2208 2514 2608 2934 3312 3352 3749 3771 3912 5028 5216 5868 6624 6704 7498 7542 7824 9637 10056 11247 11736 13408 14996 15084 15648 19274 20112 22494 23472 28911 29992 30168 33741 38548 40224 44988 46944 57822 59984 60336 67482 68297 77096 86733 89976 115644 119968 120672 134964 136594 154192 173466 179952 204891 231288 269928 273188 308384 346932 359904 409782 462576 539856 546376 614673 693864 819564 925152 1079712 1092752 1229346 1387728 1570831 1639128 2185504 2458692 2775456 3141662 3278256 4712493 4917384 6283324 6556512 9424986 9834768 12566648 14137479 18849972 19669536 25133296 28274958 37699944 50266592 56549916 75399888 113099832 150799776 226199664 452399328