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54669264 = 24313791109
BaseRepresentation
bin1101000010001…
…0111111010000
310210212111010120
43100202333100
5102443404024
65231430240
71232452416
oct320427720
9123774116
1054669264
112894a911
1216385380
13b4317a0
1473912b6
154bed479
hex3422fd0

54669264 has 80 divisors (see below), whose sum is σ = 154156800. Its totient is φ = 16593408.

The previous prime is 54669259. The next prime is 54669269. The reversal of 54669264 is 46296645.

It is an interprime number because it is at equal distance from previous prime (54669259) and next prime (54669269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54669269) 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, 48742 + ... + 49850.

It is an arithmetic number, because the mean of its divisors is an integer number (1926960).

Almost surely, 254669264 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 54669264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77078400).

54669264 is an abundant number, since it is smaller than the sum of its proper divisors (99487536).

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

54669264 is a wasteful number, since it uses less digits than its factorization.

54669264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1206 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 54669264 is about 7393.8666474315. The cubic root of 54669264 is about 379.5314261376.

The spelling of 54669264 in words is "fifty-four million, six hundred sixty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 208 237 312 316 474 624 632 948 1027 1109 1264 1896 2054 2218 3081 3327 3792 4108 4436 6162 6654 8216 8872 12324 13308 14417 16432 17744 24648 26616 28834 43251 49296 53232 57668 86502 87611 115336 173004 175222 230672 262833 346008 350444 525666 692016 700888 1051332 1138943 1401776 2102664 2277886 3416829 4205328 4555772 6833658 9111544 13667316 18223088 27334632 54669264