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54608148 = 22337217607
BaseRepresentation
bin1101000001010…
…0000100010100
310210202101022000
43100110010110
5102434430043
65230235300
71232106300
oct320240424
9123671260
1054608148
1128908a01
1216355b30
13b40ca1a
147376d00
154bda2d3
hex3414114

54608148 has 144 divisors (see below), whose sum is σ = 174666240. Its totient is φ = 14660352.

The previous prime is 54608129. The next prime is 54608153. The reversal of 54608148 is 84180645.

54608148 is a `hidden beast` number, since 5 + 4 + 608 + 1 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89661 + ... + 90267.

It is an arithmetic number, because the mean of its divisors is an integer number (1212960).

Almost surely, 254608148 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 54608148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87333120).

54608148 is an abundant number, since it is smaller than the sum of its proper divisors (120058092).

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

54608148 is a wasteful number, since it uses less digits than its factorization.

54608148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 54608148 is about 7389.7326067998. The cubic root of 54608148 is about 379.3899444964.

It can be divided in two parts, 54608 and 148, that added together give a square (54756 = 2342).

The spelling of 54608148 in words is "fifty-four million, six hundred eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 49 51 54 63 68 84 98 102 108 119 126 147 153 189 196 204 238 252 294 306 357 378 441 459 476 588 607 612 714 756 833 882 918 1071 1214 1323 1428 1666 1764 1821 1836 2142 2428 2499 2646 3213 3332 3642 4249 4284 4998 5292 5463 6426 7284 7497 8498 9996 10319 10926 12747 12852 14994 16389 16996 20638 21852 22491 25494 29743 29988 30957 32778 38241 41276 44982 50988 59486 61914 65556 72233 76482 89229 89964 92871 114723 118972 123828 144466 152964 178458 185742 216699 229446 267687 278613 288932 356916 371484 433398 458892 505631 535374 557226 650097 803061 866796 1011262 1070748 1114452 1300194 1516893 1606122 1950291 2022524 2600388 3033786 3212244 3900582 4550679 6067572 7801164 9101358 13652037 18202716 27304074 54608148