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55125312 = 2631143607
BaseRepresentation
bin1101001001001…
…0010101000000
310211201122201020
43102102111000
5103103002222
65245305440
71236362124
oct322222500
9124648636
1055125312
1129131510
1216565280
13b561238
14746d584
154c8d65c
hex3492540

55125312 has 112 divisors (see below), whose sum is σ = 163080192. Its totient is φ = 16289280.

The previous prime is 55125311. The next prime is 55125337. The reversal of 55125312 is 21352155.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55125311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90513 + ... + 91119.

Almost surely, 255125312 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 55125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81540096).

55125312 is an abundant number, since it is smaller than the sum of its proper divisors (107954880).

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

55125312 is a wasteful number, since it uses less digits than its factorization.

55125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its digits is 1500, while the sum is 24.

The square root of 55125312 is about 7424.6422136019. The cubic root of 55125312 is about 380.5838485659.

Adding to 55125312 its reverse (21352155), we get a palindrome (76477467).

The spelling of 55125312 in words is "fifty-five million, one hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 129 132 172 176 192 258 264 344 352 473 516 528 607 688 704 946 1032 1056 1214 1376 1419 1821 1892 2064 2112 2428 2752 2838 3642 3784 4128 4856 5676 6677 7284 7568 8256 9712 11352 13354 14568 15136 19424 20031 22704 26101 26708 29136 30272 38848 40062 45408 52202 53416 58272 78303 80124 90816 104404 106832 116544 156606 160248 208808 213664 287111 313212 320496 417616 427328 574222 626424 640992 835232 861333 1148444 1252848 1281984 1670464 1722666 2296888 2505696 3445332 4593776 5011392 6890664 9187552 13781328 18375104 27562656 55125312