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1453332096 = 27322354851
BaseRepresentation
bin101011010100000…
…0001011010000000
310202021200220211200
41112220001122000
510434023111341
6400113541200
751005055546
oct12650013200
93667626750
101453332096
11686405a07
12346874800
131a2132728
14db035d96
15878cbdb6
hex56a01680

1453332096 has 96 divisors (see below), whose sum is σ = 4364025120. Its totient is φ = 463372800.

The previous prime is 1453332053. The next prime is 1453332113. The reversal of 1453332096 is 6902333541.

It is a happy number.

1453332096 is a `hidden beast` number, since 1 + 4 + 533 + 32 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14533320962 = 4224348362527506432, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 1453332096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930 + ... + 53921.

It is an arithmetic number, because the mean of its divisors is an integer number (45458595).

Almost surely, 21453332096 is an apocalyptic number.

1453332096 is a gapful number since it is divisible by the number (16) 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 1453332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182012560).

1453332096 is an abundant number, since it is smaller than the sum of its proper divisors (2910693024).

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

1453332096 is a wasteful number, since it uses less digits than its factorization.

1453332096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54894 (or 54879 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1453332096 is about 38122.5929863119. The cubic root of 1453332096 is about 1132.7175296660.

The spelling of 1453332096 in words is "one billion, four hundred fifty-three million, three hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 54851 109702 164553 219404 329106 438808 493659 658212 877616 987318 1261573 1316424 1755232 1974636 2523146 2632848 3510464 3784719 3949272 5046292 5265696 7020928 7569438 7898544 10092584 10531392 11354157 15138876 15797088 20185168 21062784 22708314 30277752 31594176 40370336 45416628 60555504 63188352 80740672 90833256 121111008 161481344 181666512 242222016 363333024 484444032 726666048 1453332096