Search a number
-
+
148508352 = 2632318317
BaseRepresentation
bin10001101101000…
…00111011000000
3101100110000011100
420312200323000
5301004231402
622423014400
73452204646
oct1066407300
9340400140
10148508352
1176913583
124189a400
13249c8c85
1415a1b196
15d08771c
hex8da0ec0

148508352 has 84 divisors (see below), whose sum is σ = 439456576. Its totient is φ = 47900160.

The previous prime is 148508323. The next prime is 148508359. The reversal of 148508352 is 253805841.

It is a happy number.

148508352 is a `hidden beast` number, since 148 + 508 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×1485083522 = 44109461227511808, which contains 22 as substring.

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 (148508359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13698 + ... + 22014.

Almost surely, 2148508352 is an apocalyptic number.

148508352 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 148508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219728288).

148508352 is an abundant number, since it is smaller than the sum of its proper divisors (290948224).

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

148508352 is a wasteful number, since it uses less digits than its factorization.

148508352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 148508352 is about 12186.4002888466. The cubic root of 148508352 is about 529.5621778802.

The spelling of 148508352 in words is "one hundred forty-eight million, five hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8317 8928 16634 17856 24951 33268 49902 66536 74853 99804 133072 149706 199608 257827 266144 299412 399216 515654 532288 598824 773481 798432 1031308 1197648 1546962 1596864 2062616 2320443 2395296 3093924 4125232 4640886 4790592 6187848 8250464 9281772 12375696 16500928 18563544 24751392 37127088 49502784 74254176 148508352