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728108352 = 2634140453
BaseRepresentation
bin101011011001100…
…000110101000000
31212202001201220000
4223121200311000
52442343431402
6200125520000
724020550606
oct5331406500
91782051800
10728108352
11343aa8644
12183a13000
13b7b0135a
146c9b3876
1543dc5c1c
hex2b660d40

728108352 has 70 divisors (see below), whose sum is σ = 2158356618. Its totient is φ = 242701056.

The previous prime is 728108347. The next prime is 728108369. The reversal of 728108352 is 253801827.

It can be written as a sum of positive squares in only one way, i.e., 679332096 + 48776256 = 26064^2 + 6984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65043 + ... + 75410.

Almost surely, 2728108352 is an apocalyptic number.

728108352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

728108352 is an abundant number, since it is smaller than the sum of its proper divisors (1430248266).

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

728108352 is a wasteful number, since it uses less digits than its factorization.

728108352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140477 (or 140458 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 728108352 is about 26983.4829479072. The cubic root of 728108352 is about 899.6329169649.

The spelling of 728108352 in words is "seven hundred twenty-eight million, one hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 140453 280906 421359 561812 842718 1123624 1264077 1685436 2247248 2528154 3370872 3792231 4494496 5056308 6741744 7584462 8988992 10112616 11376693 13483488 15168924 20225232 22753386 26966976 30337848 40450464 45506772 60675696 80900928 91013544 121351392 182027088 242702784 364054176 728108352