Search a number
-
+
148836864 = 2931123383
BaseRepresentation
bin10001101111100…
…01001000000000
3101101001200210110
420313301020000
5301100234424
622434031320
73455043501
oct1067611000
9341050713
10148836864
1177018380
1241a18540
1324ab2667
1415aa4ba8
15d0eec29
hex8df1200

148836864 has 160 divisors (see below), whose sum is σ = 452542464. Its totient is φ = 43028480.

The previous prime is 148836851. The next prime is 148836871. The reversal of 148836864 is 468638841.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388417 + ... + 388799.

Almost surely, 2148836864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226271232).

148836864 is an abundant number, since it is smaller than the sum of its proper divisors (303705600).

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

148836864 is a wasteful number, since it uses less digits than its factorization.

148836864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 422 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 148836864 is about 12199.8714747328. The cubic root of 148836864 is about 529.9523678565.

The spelling of 148836864 in words is "one hundred forty-eight million, eight hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 383 384 506 512 528 552 704 736 759 766 768 1012 1056 1104 1149 1408 1472 1518 1532 1536 2024 2112 2208 2298 2816 2944 3036 3064 4048 4213 4224 4416 4596 5632 5888 6072 6128 8096 8426 8448 8809 8832 9192 11776 12144 12256 12639 16192 16852 16896 17618 17664 18384 24288 24512 25278 26427 32384 33704 35236 35328 36768 48576 49024 50556 52854 64768 67408 70472 73536 96899 97152 98048 101112 105708 129536 134816 140944 147072 193798 194304 196096 202224 211416 269632 281888 290697 294144 387596 388608 404448 422832 539264 563776 581394 588288 775192 808896 845664 1078528 1127552 1162788 1550384 1617792 1691328 2157056 2255104 2325576 3100768 3235584 3382656 4510208 4651152 6201536 6471168 6765312 9302304 12403072 13530624 18604608 24806144 37209216 49612288 74418432 148836864