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55218672 = 2434137311
BaseRepresentation
bin1101001010100…
…1000111110000
310211220101210000
43102221013300
5103113444142
65251310000
71240231245
oct322510760
9124811700
1055218672
1129195673
12165ab300
13b594892
1474955cc
154cab14c
hex34a91f0

55218672 has 100 divisors (see below), whose sum is σ = 161503056. Its totient is φ = 18213120.

The previous prime is 55218671. The next prime is 55218679. The reversal of 55218672 is 27681255.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55218671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 177397 + ... + 177707.

Almost surely, 255218672 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 55218672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80751528).

55218672 is an abundant number, since it is smaller than the sum of its proper divisors (106284384).

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

55218672 is a wasteful number, since it uses less digits than its factorization.

55218672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 55218672 is about 7430.9267255168. The cubic root of 55218672 is about 380.7985791322.

The spelling of 55218672 in words is "fifty-five million, two hundred eighteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 137 144 162 216 274 311 324 411 432 548 622 648 822 933 1096 1233 1244 1296 1644 1866 2192 2466 2488 2799 3288 3699 3732 4932 4976 5598 6576 7398 7464 8397 9864 11097 11196 14796 14928 16794 19728 22194 22392 25191 29592 33588 42607 44388 44784 50382 59184 67176 85214 88776 100764 127821 134352 170428 177552 201528 255642 340856 383463 403056 511284 681712 766926 1022568 1150389 1533852 2045136 2300778 3067704 3451167 4601556 6135408 6902334 9203112 13804668 18406224 27609336 55218672