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55458304 = 291143229
BaseRepresentation
bin1101001110001…
…1101000000000
310212100120111021
43103203220000
5103144131204
65300355224
71242250006
oct323435000
9125316437
1055458304
1129339710
12166a5b14
13b649985
147518a76
154d07154
hex34e3a00

55458304 has 80 divisors (see below), whose sum is σ = 124233120. Its totient is φ = 24514560.

The previous prime is 55458269. The next prime is 55458329. The reversal of 55458304 is 40385455.

It is a self number, because there is not a number n which added to its sum of digits gives 55458304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242062 + ... + 242290.

It is an arithmetic number, because the mean of its divisors is an integer number (1552914).

Almost surely, 255458304 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 55458304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62116560).

55458304 is an abundant number, since it is smaller than the sum of its proper divisors (68774816).

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

55458304 is a wasteful number, since it uses less digits than its factorization.

55458304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 55458304 is about 7447.0332347855. The cubic root of 55458304 is about 381.3486336578.

The spelling of 55458304 in words is "fifty-five million, four hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 229 256 344 352 458 473 512 688 704 916 946 1376 1408 1832 1892 2519 2752 2816 3664 3784 5038 5504 5632 7328 7568 9847 10076 11008 14656 15136 19694 20152 22016 29312 30272 39388 40304 58624 60544 78776 80608 108317 117248 121088 157552 161216 216634 242176 315104 322432 433268 630208 644864 866536 1260416 1289728 1733072 2520832 3466144 5041664 6932288 13864576 27729152 55458304