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148452408 = 233213199797
BaseRepresentation
bin10001101100100…
…11010000111000
3101100100011102100
420312103100320
5301000434113
622421503400
73451552566
oct1066232070
9340304370
10148452408
1176885545
1241871b60
13249a9680
1415a04a36
15d075d73
hex8d93438

148452408 has 96 divisors (see below), whose sum is σ = 435708000. Its totient is φ = 45391104.

The previous prime is 148452407. The next prime is 148452433. The reversal of 148452408 is 804254841.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148452407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185866 + ... + 186662.

It is an arithmetic number, because the mean of its divisors is an integer number (4538625).

Almost surely, 2148452408 is an apocalyptic number.

148452408 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 148452408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217854000).

148452408 is an abundant number, since it is smaller than the sum of its proper divisors (287255592).

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

148452408 is a wasteful number, since it uses less digits than its factorization.

148452408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 148452408 is about 12184.1047270614. The cubic root of 148452408 is about 529.4956730969.

The spelling of 148452408 in words is "one hundred forty-eight million, four hundred fifty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 199 234 312 398 468 597 796 797 936 1194 1592 1594 1791 2388 2391 2587 3188 3582 4776 4782 5174 6376 7164 7173 7761 9564 10348 10361 14328 14346 15522 19128 20696 20722 23283 28692 31044 31083 41444 46566 57384 62088 62166 82888 93132 93249 124332 158603 186264 186498 248664 317206 372996 475809 634412 745992 951618 1268824 1427427 1903236 2061839 2854854 3806472 4123678 5709708 6185517 8247356 11419416 12371034 16494712 18556551 24742068 37113102 49484136 74226204 148452408