Search a number
-
+
55791351 = 3273113153
BaseRepresentation
bin1101010011010…
…0111011110111
310212222111100100
43110310323313
5103240310401
65311445143
71245135000
oct324647367
9125874310
1055791351
1129546960
12168267b3
13b735445
1475a41a7
154d70b86
hex3534ef7

55791351 has 96 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 27518400.

The previous prime is 55791347. The next prime is 55791383. The reversal of 55791351 is 15319755.

55791351 = T393 + T394 + ... + T733.

It is not a de Polignac number, because 55791351 - 22 = 55791347 is a prime.

It is a super-2 number, since 2×557913512 = 6225349692810402, which contains 22 as substring.

Its product of digits (23625) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55791451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1052641 + ... + 1052693.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 255791351 is an apocalyptic number.

55791351 is a deficient number, since it is larger than the sum of its proper divisors (52035849).

55791351 is a wasteful number, since it uses less digits than its factorization.

55791351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its digits is 23625, while the sum is 36.

The square root of 55791351 is about 7469.3608160270. The cubic root of 55791351 is about 382.1104890411.

The spelling of 55791351 in words is "fifty-five million, seven hundred ninety-one thousand, three hundred fifty-one".

Divisors: 1 3 7 9 11 21 31 33 49 53 63 77 93 99 147 159 217 231 279 341 343 371 441 477 539 583 651 693 1023 1029 1113 1519 1617 1643 1749 1953 2387 2597 3069 3087 3339 3773 4081 4557 4851 4929 5247 7161 7791 10633 11319 11501 12243 13671 14787 16709 18073 18179 21483 23373 28567 31899 33957 34503 36729 50127 54219 54537 80507 85701 95697 103509 116963 126511 150381 162657 163611 199969 241521 257103 350889 379533 563549 599907 724563 885577 1052667 1138599 1690647 1799721 2656731 5071941 6199039 7970193 18597117 55791351