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54742420 = 22519712029
BaseRepresentation
bin1101000011010…
…0110110010100
310211000012111001
43100310312110
5103003224140
65233153044
71233205615
oct320646624
9124005431
1054742420
112899a877
12163bb784
13b458b85
1473adc0c
154c14e9a
hex3434d94

54742420 has 48 divisors (see below), whose sum is σ = 122774400. Its totient is φ = 20442240.

The previous prime is 54742403. The next prime is 54742423. The reversal of 54742420 is 2424745.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54742423) 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, 25966 + ... + 27994.

It is an arithmetic number, because the mean of its divisors is an integer number (2557800).

Almost surely, 254742420 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 54742420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61387200).

54742420 is an abundant number, since it is smaller than the sum of its proper divisors (68031980).

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

54742420 is a wasteful number, since it uses less digits than its factorization.

54742420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 54742420 is about 7398.8120668118. The cubic root of 54742420 is about 379.7006414245.

The spelling of 54742420 in words is "fifty-four million, seven hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 142 190 284 355 380 710 1349 1420 2029 2698 4058 5396 6745 8116 10145 13490 20290 26980 38551 40580 77102 144059 154204 192755 288118 385510 576236 720295 771020 1440590 2737121 2881180 5474242 10948484 13685605 27371210 54742420