Search a number
-
+
148323456 = 2732199647
BaseRepresentation
bin10001101011100…
…11110010000000
3101100002121112100
420311303302000
5300432322311
622415030400
73450504621
oct1065636200
9340077470
10148323456
11767a7676
124180b400
1324962a78
14159ada48
15d04ca56
hex8d73c80

148323456 has 96 divisors (see below), whose sum is σ = 429624000. Its totient is φ = 49116672.

The previous prime is 148323451. The next prime is 148323457. The reversal of 148323456 is 654323841.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 148323456.

It is not an unprimeable number, because it can be changed into a prime (148323451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228925 + ... + 229571.

It is an arithmetic number, because the mean of its divisors is an integer number (4475250).

Almost surely, 2148323456 is an apocalyptic number.

148323456 is a gapful number since it is divisible by the number (16) 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 148323456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214812000).

148323456 is an abundant number, since it is smaller than the sum of its proper divisors (281300544).

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

148323456 is a wasteful number, since it uses less digits than its factorization.

148323456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 851 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 148323456 is about 12178.8117647002. The cubic root of 148323456 is about 529.3423146195.

The spelling of 148323456 in words is "one hundred forty-eight million, three hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 288 384 398 576 597 647 796 1152 1194 1294 1592 1791 1941 2388 2588 3184 3582 3882 4776 5176 5823 6368 7164 7764 9552 10352 11646 12736 14328 15528 19104 20704 23292 25472 28656 31056 38208 41408 46584 57312 62112 76416 82816 93168 114624 124224 128753 186336 229248 248448 257506 372672 386259 515012 745344 772518 1030024 1158777 1545036 2060048 2317554 3090072 4120096 4635108 6180144 8240192 9270216 12360288 16480384 18540432 24720576 37080864 49441152 74161728 148323456