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55312632 = 233537769
BaseRepresentation
bin1101001100000…
…0000011111000
310212002011200000
43103000003320
5103130001012
65253313000
71241102214
oct323000370
9125064600
1055312632
112924a221
1216635760
13b5c858b
1474bb944
154cc8ddc
hex34c00f8

55312632 has 96 divisors (see below), whose sum is σ = 159759600. Its totient is φ = 17915904.

The previous prime is 55312627. The next prime is 55312637. The reversal of 55312632 is 23621355.

It is an interprime number because it is at equal distance from previous prime (55312627) and next prime (55312637).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55312596 and 55312605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55312637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71544 + ... + 72312.

Almost surely, 255312632 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 55312632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79879800).

55312632 is an abundant number, since it is smaller than the sum of its proper divisors (104446968).

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

55312632 is a wasteful number, since it uses less digits than its factorization.

55312632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 811 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 55312632 is about 7437.2462645794. The cubic root of 55312632 is about 381.0144454812.

Adding to 55312632 its reverse (23621355), we get a palindrome (78933987).

The spelling of 55312632 in words is "fifty-five million, three hundred twelve thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 769 888 972 999 1332 1538 1944 1998 2307 2664 2997 3076 3996 4614 5994 6152 6921 7992 8991 9228 11988 13842 17982 18456 20763 23976 27684 28453 35964 41526 55368 56906 62289 71928 83052 85359 113812 124578 166104 170718 186867 227624 249156 256077 341436 373734 498312 512154 682872 747468 768231 1024308 1494936 1536462 2048616 2304693 3072924 4609386 6145848 6914079 9218772 13828158 18437544 27656316 55312632