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73079552 = 287133137
BaseRepresentation
bin1000101101100…
…01101100000000
312002111211022002
410112301230000
5122202021202
611130203132
71545110630
oct426615400
9162454262
1073079552
1138284827
12205834a8
13121a9450
1499c46c0
156638302
hex45b1b00

73079552 has 72 divisors (see below), whose sum is σ = 179594016. Its totient is φ = 28901376.

The previous prime is 73079537. The next prime is 73079557. The reversal of 73079552 is 25597037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73079557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21728 + ... + 24864.

Almost surely, 273079552 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 73079552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89797008).

73079552 is an abundant number, since it is smaller than the sum of its proper divisors (106514464).

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

73079552 is a wasteful number, since it uses less digits than its factorization.

73079552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 38.

The square root of 73079552 is about 8548.6579063617. The cubic root of 73079552 is about 418.0856794979.

The spelling of 73079552 in words is "seventy-three million, seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3137 3328 5824 6274 11648 12548 21959 23296 25096 40781 43918 50192 81562 87836 100384 163124 175672 200768 285467 326248 351344 401536 570934 652496 702688 803072 1141868 1304992 1405376 2283736 2609984 2810752 4567472 5219968 5621504 9134944 10439936 18269888 36539776 73079552