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73148608 = 261326763
BaseRepresentation
bin1000101110000…
…10100011000000
312002122100000201
410113002203000
5122211223413
611131454544
71545516151
oct427024300
9162570021
1073148608
11383216a5
12205b7454
1312201a00
149a01928
15664d9dd
hex45c28c0

73148608 has 42 divisors (see below), whose sum is σ = 157202124. Its totient is φ = 33755904.

The previous prime is 73148599. The next prime is 73148627. The reversal of 73148608 is 80684137.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7435 + ... + 14197.

Almost surely, 273148608 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 73148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78601062).

73148608 is an abundant number, since it is smaller than the sum of its proper divisors (84053516).

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

73148608 is a wasteful number, since it uses less digits than its factorization.

73148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 73148608 is about 8552.6959492314. The cubic root of 73148608 is about 418.2173270644.

The spelling of 73148608 in words is "seventy-three million, one hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 6763 10816 13526 27052 54104 87919 108208 175838 216416 351676 432832 703352 1142947 1406704 2285894 2813408 4571788 5626816 9143576 18287152 36574304 73148608