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80357472 = 2532133127
BaseRepresentation
bin1001100101000…
…10100001100000
312121012120201200
410302202201200
5131032414342
611550201200
71664012226
oct462424140
9177176650
1080357472
11413a5838
1222ab3200
1313857000
14a95ab16
1570c494c
hex4ca2860

80357472 has 144 divisors (see below), whose sum is σ = 249500160. Its totient is φ = 24530688.

The previous prime is 80357471. The next prime is 80357489. The reversal of 80357472 is 27475308.

80357472 is a `hidden beast` number, since 80 + 3 + 574 + 7 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80357471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632673 + ... + 632799.

It is an arithmetic number, because the mean of its divisors is an integer number (1732640).

Almost surely, 280357472 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 80357472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124750080).

80357472 is an abundant number, since it is smaller than the sum of its proper divisors (169142688).

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

80357472 is a wasteful number, since it uses less digits than its factorization.

80357472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 80357472 is about 8964.2329287006. The cubic root of 80357472 is about 431.5277761762.

The spelling of 80357472 in words is "eighty million, three hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 127 144 156 169 208 234 254 288 312 338 381 416 468 507 508 624 676 762 936 1014 1016 1143 1248 1352 1521 1524 1651 1872 2028 2032 2197 2286 2704 3042 3048 3302 3744 4056 4064 4394 4572 4953 5408 6084 6096 6591 6604 8112 8788 9144 9906 12168 12192 13182 13208 14859 16224 17576 18288 19773 19812 21463 24336 26364 26416 29718 35152 36576 39546 39624 42926 48672 52728 52832 59436 64389 70304 79092 79248 85852 105456 118872 128778 158184 158496 171704 193167 210912 237744 257556 279019 316368 343408 386334 475488 515112 558038 632736 686816 772668 837057 1030224 1116076 1545336 1674114 2060448 2232152 2511171 3090672 3348228 4464304 5022342 6181344 6696456 8928608 10044684 13392912 20089368 26785824 40178736 80357472