Search a number
-
+
55273536 = 2633291103
BaseRepresentation
bin1101001011011…
…0100001000000
310212000012001000
43102312201000
5103122223121
65252412000
71240550223
oct322664100
9125005030
1055273536
112922290a
1216617000
13b5b3846
1474ab5ba
154cbc526
hex34b6840

55273536 has 112 divisors (see below), whose sum is σ = 168249600. Its totient is φ = 17773056.

The previous prime is 55273529. The next prime is 55273583. The reversal of 55273536 is 63537255.

55273536 is a `hidden beast` number, since 5 + 52 + 73 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55273536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49561 + ... + 50663.

Almost surely, 255273536 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 55273536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84124800).

55273536 is an abundant number, since it is smaller than the sum of its proper divisors (112976064).

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

55273536 is a wasteful number, since it uses less digits than its factorization.

55273536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1137 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 55273536 is about 7434.6174077756. The cubic root of 55273536 is about 380.9246549504.

It can be divided in two parts, 552 and 73536, that added together give a cube (74088 = 423).

The spelling of 55273536 in words is "fifty-five million, two hundred seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1103 1392 1566 1728 1856 2088 2206 2784 3132 3309 4176 4412 5568 6264 6618 8352 8824 9927 12528 13236 16704 17648 19854 25056 26472 29781 31987 35296 39708 50112 52944 59562 63974 70592 79416 95961 105888 119124 127948 158832 191922 211776 238248 255896 287883 317664 383844 476496 511792 575766 635328 767688 863649 952992 1023584 1151532 1535376 1727298 1905984 2047168 2303064 3070752 3454596 4606128 6141504 6909192 9212256 13818384 18424512 27636768 55273536