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73396848 = 24371911497
BaseRepresentation
bin1000101111111…
…11001001110000
312010002221112210
410113333021300
5122242144343
611141052120
71550601660
oct427771160
9163087483
1073396848
1138481158
12206b7040
131228a9b5
149a681a0
15669c333
hex45ff270

73396848 has 80 divisors (see below), whose sum is σ = 228120320. Its totient is φ = 19865088.

The previous prime is 73396831. The next prime is 73396853. The reversal of 73396848 is 84869337.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 73396797 and 73396806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636 + ... + 12132.

It is an arithmetic number, because the mean of its divisors is an integer number (2851504).

Almost surely, 273396848 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 73396848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114060160).

73396848 is an abundant number, since it is smaller than the sum of its proper divisors (154723472).

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

73396848 is a wasteful number, since it uses less digits than its factorization.

73396848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11534 (or 11528 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 73396848 is about 8567.1960407125. The cubic root of 73396848 is about 418.6898858386.

The spelling of 73396848 in words is "seventy-three million, three hundred ninety-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 11497 22994 34491 45988 68982 80479 91976 137964 160958 183952 218443 241437 275928 321916 436886 482874 551856 643832 655329 873772 965748 1287664 1310658 1529101 1747544 1931496 2621316 3058202 3495088 3862992 4587303 5242632 6116404 9174606 10485264 12232808 18349212 24465616 36698424 73396848