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54856224 = 2533173367
BaseRepresentation
bin1101000101000…
…0101000100000
310211012222121000
43101100220200
5103020344344
65235432000
71234161453
oct321205040
9124188530
1054856224
1128a68325
1216455600
13b498907
1473dd49a
154c38a69
hex3450a20

54856224 has 96 divisors (see below), whose sum is σ = 161360640. Its totient is φ = 18130176.

The previous prime is 54856223. The next prime is 54856273. The reversal of 54856224 is 42265845.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54856223) 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, 149289 + ... + 149655.

It is an arithmetic number, because the mean of its divisors is an integer number (1680840).

Almost surely, 254856224 is an apocalyptic number.

54856224 is a gapful number since it is divisible by the number (54) 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 54856224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80680320).

54856224 is an abundant number, since it is smaller than the sum of its proper divisors (106504416).

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

54856224 is a wasteful number, since it uses less digits than its factorization.

54856224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 545 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 54856224 is about 7406.4987679740. The cubic root of 54856224 is about 379.9635791502.

The spelling of 54856224 in words is "fifty-four million, eight hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 173 216 288 346 367 432 519 692 734 864 1038 1101 1384 1468 1557 2076 2202 2768 2936 3114 3303 4152 4404 4671 5536 5872 6228 6606 8304 8808 9342 9909 11744 12456 13212 16608 17616 18684 19818 24912 26424 35232 37368 39636 49824 52848 63491 74736 79272 105696 126982 149472 158544 190473 253964 317088 380946 507928 571419 761892 1015856 1142838 1523784 1714257 2031712 2285676 3047568 3428514 4571352 6095136 6857028 9142704 13714056 18285408 27428112 54856224