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67714848 = 25321911231
BaseRepresentation
bin1000000100100…
…11111100100000
311201102021022100
410002103330200
5114313333343
610415210400
71451365245
oct402237440
9151367270
1067714848
1135250193
121a816a00
131104b676
148dc95cc
155e289d3
hex4093f20

67714848 has 72 divisors (see below), whose sum is σ = 193729536. Its totient is φ = 22435200.

The previous prime is 67714837. The next prime is 67714861. The reversal of 67714848 is 84841776.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54393 + ... + 55623.

It is an arithmetic number, because the mean of its divisors is an integer number (2690688).

Almost surely, 267714848 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 67714848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96864768).

67714848 is an abundant number, since it is smaller than the sum of its proper divisors (126014688).

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

67714848 is a wasteful number, since it uses less digits than its factorization.

67714848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1427 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 67714848 is about 8228.9032075970. The cubic root of 67714848 is about 407.5941754813.

The spelling of 67714848 in words is "sixty-seven million, seven hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 1146 1231 1528 1719 2292 2462 3056 3438 3693 4584 4924 6112 6876 7386 9168 9848 11079 13752 14772 18336 19696 22158 27504 29544 39392 44316 55008 59088 88632 118176 177264 235121 354528 470242 705363 940484 1410726 1880968 2116089 2821452 3761936 4232178 5642904 7523872 8464356 11285808 16928712 22571616 33857424 67714848