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55041536 = 291129337
BaseRepresentation
bin1101000111110…
…1111000000000
310211120101210102
43101331320000
5103042312121
65243421532
71235562644
oct321757000
9124511712
1055041536
1129084580
12165248a8
13b532074
14744ac24
154c7390b
hex347de00

55041536 has 80 divisors (see below), whose sum is σ = 124478640. Its totient is φ = 24084480.

The previous prime is 55041527. The next prime is 55041551. The reversal of 55041536 is 63514055.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 55041499 and 55041508.

It is a congruent number.

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, 163160 + ... + 163496.

It is an arithmetic number, because the mean of its divisors is an integer number (1555983).

Almost surely, 255041536 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 55041536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62239320).

55041536 is an abundant number, since it is smaller than the sum of its proper divisors (69437104).

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

55041536 is a wasteful number, since it uses less digits than its factorization.

55041536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 55041536 is about 7418.9983151366. The cubic root of 55041536 is about 380.3909549770.

The spelling of 55041536 in words is "fifty-five million, forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 337 352 464 512 638 674 704 928 1276 1348 1408 1856 2552 2696 2816 3707 3712 5104 5392 5632 7414 7424 9773 10208 10784 14828 14848 19546 20416 21568 29656 39092 40832 43136 59312 78184 81664 86272 107503 118624 156368 163328 172544 215006 237248 312736 430012 474496 625472 860024 948992 1250944 1720048 1897984 2501888 3440096 5003776 6880192 13760384 27520768 55041536