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54034456 = 2372307449
BaseRepresentation
bin1100111000100…
…0000000011000
310202200020100011
43032020000120
5102313100311
65210051304
71224166600
oct316100030
9122606304
1054034456
1128556983
1216119b34
13b26b868
147267c00
154b25321
hex3388018

54034456 has 48 divisors (see below), whose sum is σ = 118503000. Its totient is φ = 23030784.

The previous prime is 54034451. The next prime is 54034459. The reversal of 54034456 is 65443045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54034451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120120 + ... + 120568.

Almost surely, 254034456 is an apocalyptic number.

54034456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54034456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59251500).

54034456 is an abundant number, since it is smaller than the sum of its proper divisors (64468544).

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

54034456 is a wasteful number, since it uses less digits than its factorization.

54034456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 54034456 is about 7350.8132883376. The cubic root of 54034456 is about 378.0566901715.

The spelling of 54034456 in words is "fifty-four million, thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 307 392 449 614 898 1228 1796 2149 2456 3143 3592 4298 6286 8596 12572 15043 17192 22001 25144 30086 44002 60172 88004 120344 137843 176008 275686 551372 964901 1102744 1929802 3859604 6754307 7719208 13508614 27017228 54034456