Search a number
-
+
148988268 = 223311213877
BaseRepresentation
bin10001110000101…
…10000101101100
3101101100101111000
420320112011230
5301120111033
622441200300
73456244062
oct1070260554
9341311430
10148988268
1177111100
1241a90090
1324b36550
1415b04032
15d12ea13
hex8e1616c

148988268 has 144 divisors (see below), whose sum is σ = 457754080. Its totient is φ = 41627520.

The previous prime is 148988251. The next prime is 148988269. The reversal of 148988268 is 862889841.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (148988269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169446 + ... + 170322.

Almost surely, 2148988268 is an apocalyptic number.

148988268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148988268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228877040).

148988268 is an abundant number, since it is smaller than the sum of its proper divisors (308765812).

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

148988268 is a wasteful number, since it uses less digits than its factorization.

148988268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 906 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 148988268 is about 12206.0750448291. The cubic root of 148988268 is about 530.1320046180.

The spelling of 148988268 in words is "one hundred forty-eight million, nine hundred eighty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 121 132 143 156 198 234 242 286 297 351 363 396 429 468 484 572 594 702 726 858 877 1089 1188 1287 1404 1452 1573 1716 1754 2178 2574 2631 3146 3267 3508 3861 4356 4719 5148 5262 6292 6534 7722 7893 9438 9647 10524 11401 13068 14157 15444 15786 18876 19294 22802 23679 28314 28941 31572 34203 38588 42471 45604 47358 56628 57882 68406 84942 86823 94716 102609 106117 115764 125411 136812 169884 173646 205218 212234 250822 260469 307827 318351 347292 376233 410436 424468 501644 520938 615654 636702 752466 955053 1041876 1128699 1231308 1273404 1379521 1504932 1910106 2257398 2759042 2865159 3386097 3820212 4138563 4514796 5518084 5730318 6772194 8277126 11460636 12415689 13544388 16554252 24831378 37247067 49662756 74494134 148988268