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54688740 = 22351277177
BaseRepresentation
bin1101000010011…
…1101111100100
310210220110211220
43100213233210
5103000014430
65232100340
71232563251
oct320475744
9123813756
1054688740
1128963507
12163946b0
13b43a602
147398428
154c04110
hex3427be4

54688740 has 48 divisors (see below), whose sum is σ = 154355712. Its totient is φ = 14466816.

The previous prime is 54688729. The next prime is 54688747. The reversal of 54688740 is 4788645.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54688692 and 54688701.

It is not an unprimeable number, because it can be changed into a prime (54688747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4032 + ... + 11208.

It is an arithmetic number, because the mean of its divisors is an integer number (3215744).

Almost surely, 254688740 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 54688740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77177856).

54688740 is an abundant number, since it is smaller than the sum of its proper divisors (99666972).

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

54688740 is a wasteful number, since it uses less digits than its factorization.

54688740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7316 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 54688740 is about 7395.1835677013. The cubic root of 54688740 is about 379.5764903164.

The spelling of 54688740 in words is "fifty-four million, six hundred eighty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7177 7620 14354 21531 28708 35885 43062 71770 86124 107655 143540 215310 430620 911479 1822958 2734437 3645916 4557395 5468874 9114790 10937748 13672185 18229580 27344370 54688740