Search a number
-
+
55949355 = 32571167241
BaseRepresentation
bin1101010101101…
…1100000101011
310220021112002100
43111123200223
5103310334410
65315104443
71246363440
oct325334053
9126245070
1055949355
1129644640
12168a2123
13b78c337
1476059c7
154da28c0
hex355b82b

55949355 has 96 divisors (see below), whose sum is σ = 123222528. Its totient is φ = 22809600.

The previous prime is 55949353. The next prime is 55949401. The reversal of 55949355 is 55394955.

55949355 is a `hidden beast` number, since 5 + 594 + 9 + 3 + 55 = 666.

It is not a de Polignac number, because 55949355 - 21 = 55949353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 55949355.

It is not an unprimeable number, because it can be changed into a prime (55949353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232035 + ... + 232275.

It is an arithmetic number, because the mean of its divisors is an integer number (1283568).

Almost surely, 255949355 is an apocalyptic number.

55949355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55949355 is an abundant number, since it is smaller than the sum of its proper divisors (67273173).

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

55949355 is a wasteful number, since it uses less digits than its factorization.

55949355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 334 counting only the distinct ones).

The product of its digits is 607500, while the sum is 45.

The square root of 55949355 is about 7479.9301467327. The cubic root of 55949355 is about 382.4708679594.

The spelling of 55949355 in words is "fifty-five million, nine hundred forty-nine thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 67 77 99 105 165 201 231 241 315 335 385 469 495 603 693 723 737 1005 1155 1205 1407 1687 2169 2211 2345 2651 3015 3465 3615 3685 4221 5061 5159 6633 7035 7953 8435 10845 11055 13255 15183 15477 16147 18557 21105 23859 25305 25795 33165 39765 46431 48441 55671 75915 77385 80735 92785 113029 119295 145323 167013 177617 232155 242205 278355 339087 532851 565145 726615 835065 888085 1017261 1243319 1598553 1695435 2664255 3729957 5086305 6216595 7992765 11189871 18649785 55949355