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54919248 = 24317237107
BaseRepresentation
bin1101000110000…
…0000001010000
310211100012001020
43101200001100
5103024403443
65241035440
71234543266
oct321400120
9124305036
1054919248
112900070a
1216485b80
13b4bb4c7
147418436
154c4c583
hex3460050

54919248 has 120 divisors (see below), whose sum is σ = 156231072. Its totient is φ = 16607232.

The previous prime is 54919247. The next prime is 54919279. The reversal of 54919248 is 84291945.

It is a super-2 number, since 2×549192482 = 6032247601771008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54919247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513211 + ... + 513317.

Almost surely, 254919248 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 54919248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78115536).

54919248 is an abundant number, since it is smaller than the sum of its proper divisors (101311824).

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

54919248 is a wasteful number, since it uses less digits than its factorization.

54919248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 54919248 is about 7410.7521885433. The cubic root of 54919248 is about 380.1090361159.

The spelling of 54919248 in words is "fifty-four million, nine hundred nineteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 107 111 136 148 204 214 222 272 289 296 321 408 428 444 578 592 629 642 816 856 867 888 1156 1258 1284 1712 1734 1776 1819 1887 2312 2516 2568 3468 3638 3774 3959 4624 5032 5136 5457 6936 7276 7548 7918 10064 10693 10914 11877 13872 14552 15096 15836 21386 21828 23754 29104 30192 30923 31672 32079 42772 43656 47508 61846 63344 64158 67303 85544 87312 92769 95016 123692 128316 134606 171088 185538 190032 201909 247384 256632 269212 371076 403818 494768 513264 538424 742152 807636 1076848 1144151 1484304 1615272 2288302 3230544 3432453 4576604 6864906 9153208 13729812 18306416 27459624 54919248