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55498752 = 211323011
BaseRepresentation
bin1101001110110…
…1100000000000
310212102121222100
43103231200000
5103201430002
65301310400
71242505641
oct323554000
9125377870
1055498752
1129367041
1216705400
13b6621ca
1475296c8
154d1411c
hex34ed800

55498752 has 72 divisors (see below), whose sum is σ = 160343820. Its totient is φ = 18493440.

The previous prime is 55498741. The next prime is 55498777. The reversal of 55498752 is 25789455.

55498752 is a `hidden beast` number, since 554 + 98 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×554987522 = 6160222947115008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55498698 and 55498707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16927 + ... + 19937.

Almost surely, 255498752 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 55498752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80171910).

55498752 is an abundant number, since it is smaller than the sum of its proper divisors (104845068).

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

55498752 is a wasteful number, since it uses less digits than its factorization.

55498752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3016 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 55498752 is about 7449.7484521291. The cubic root of 55498752 is about 381.4413221581.

The spelling of 55498752 in words is "fifty-five million, four hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3011 3072 4608 6022 6144 9033 9216 12044 18066 18432 24088 27099 36132 48176 54198 72264 96352 108396 144528 192704 216792 289056 385408 433584 578112 770816 867168 1156224 1541632 1734336 2312448 3083264 3468672 4624896 6166528 6937344 9249792 13874688 18499584 27749376 55498752