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148411692 = 22321113127227
BaseRepresentation
bin10001101100010…
…01010100101100
3101100021002120100
420312021110230
5300443133232
622420551100
73451323102
oct1066112454
9340232510
10148411692
11768579a0
1241852490
1324993c90
14159d3c72
15d068c7c
hex8d8952c

148411692 has 144 divisors (see below), whose sum is σ = 446164992. Its totient is φ = 41005440.

The previous prime is 148411687. The next prime is 148411693. The reversal of 148411692 is 296114841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (148411693) 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, 653683 + ... + 653909.

It is an arithmetic number, because the mean of its divisors is an integer number (3098368).

Almost surely, 2148411692 is an apocalyptic number.

148411692 is a gapful number since it is divisible by the number (12) 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 148411692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223082496).

148411692 is an abundant number, since it is smaller than the sum of its proper divisors (297753300).

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

148411692 is a wasteful number, since it uses less digits than its factorization.

148411692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 148411692 is about 12182.4337469982. The cubic root of 148411692 is about 529.4472604610.

The spelling of 148411692 in words is "one hundred forty-eight million, four hundred eleven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 127 132 143 156 198 227 234 254 286 381 396 429 454 468 508 572 681 762 858 908 1143 1287 1362 1397 1524 1651 1716 2043 2286 2497 2574 2724 2794 2951 3302 4086 4191 4572 4953 4994 5148 5588 5902 6604 7491 8172 8382 8853 9906 9988 11804 12573 14859 14982 16764 17706 18161 19812 22473 25146 26559 28829 29718 29964 32461 35412 36322 44946 50292 53118 54483 57658 59436 64922 72644 86487 89892 97383 106236 108966 115316 129844 163449 172974 194766 217932 259461 292149 317119 326898 345948 374777 389532 518922 584298 634238 653796 749554 951357 1037844 1124331 1168596 1268476 1499108 1902714 2248662 2854071 3372993 3805428 4122547 4497324 5708142 6745986 8245094 11416284 12367641 13491972 16490188 24735282 37102923 49470564 74205846 148411692