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54607842 = 23217237759
BaseRepresentation
bin1101000001001…
…1111111100010
310210202100212200
43100103333202
5102434422332
65230234030
71232105352
oct320237742
9123670780
1054607842
1128908753
1216355916
13b40c843
147376b62
154bda17c
hex3413fe2

54607842 has 48 divisors (see below), whose sum is σ = 130740480. Its totient is φ = 16384896.

The previous prime is 54607781. The next prime is 54607867. The reversal of 54607842 is 24870645.

54607842 is a `hidden beast` number, since 5 + 4 + 607 + 8 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54607797 and 54607806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3159 + ... + 10917.

It is an arithmetic number, because the mean of its divisors is an integer number (2723760).

Almost surely, 254607842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54607842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65370240).

54607842 is an abundant number, since it is smaller than the sum of its proper divisors (76132638).

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

54607842 is a wasteful number, since it uses less digits than its factorization.

54607842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7807 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54607842 is about 7389.7119023680. The cubic root of 54607842 is about 379.3892358504.

The spelling of 54607842 in words is "fifty-four million, six hundred seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 1173 2346 3519 7038 7759 15518 23277 46554 69831 131903 139662 178457 263806 356914 395709 535371 791418 1070742 1187127 1606113 2374254 3033769 3212226 6067538 9101307 18202614 27303921 54607842