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80203392 = 2733231009
BaseRepresentation
bin1001100011111…
…00111010000000
312120220202101000
410301330322000
5131013002032
611543012000
71662501063
oct461747200
9176822330
1080203392
11412aaaa5
1222a3a000
1313801b39
14a91a8da
157093e7c
hex4c7ce80

80203392 has 128 divisors (see below), whose sum is σ = 247248000. Its totient is φ = 25546752.

The previous prime is 80203391. The next prime is 80203423. The reversal of 80203392 is 29330208.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80203391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78984 + ... + 79992.

It is an arithmetic number, because the mean of its divisors is an integer number (1931625).

Almost surely, 280203392 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 80203392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123624000).

80203392 is an abundant number, since it is smaller than the sum of its proper divisors (167044608).

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

80203392 is a wasteful number, since it uses less digits than its factorization.

80203392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 80203392 is about 8955.6346508776. The cubic root of 80203392 is about 431.2517912969.

The spelling of 80203392 in words is "eighty million, two hundred three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1009 1104 1152 1242 1472 1656 1728 2018 2208 2484 2944 3027 3312 3456 4036 4416 4968 6054 6624 8072 8832 9081 9936 12108 13248 16144 18162 19872 23207 24216 26496 27243 32288 36324 39744 46414 48432 54486 64576 69621 72648 79488 92828 96864 108972 129152 139242 145296 185656 193728 208863 217944 278484 290592 371312 387456 417726 435888 556968 581184 626589 742624 835452 871776 1113936 1162368 1253178 1485248 1670904 1743552 2227872 2506356 2970496 3341808 3487104 4455744 5012712 6683616 8911488 10025424 13367232 20050848 26734464 40101696 80203392