Search a number
-
+
148799616 = 2737197281
BaseRepresentation
bin10001101111010…
…00000010000000
3101100222210200220
420313220002000
5301043041431
622433143040
73454530060
oct1067500200
9340883626
10148799616
1176aa2399
12419baa80
1324a9b714
1415a953a0
15d0e3b96
hex8de8080

148799616 has 128 divisors (see below), whose sum is σ = 455621760. Its totient is φ = 42147840.

The previous prime is 148799611. The next prime is 148799617. The reversal of 148799616 is 616997841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (148799611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529396 + ... + 529676.

It is an arithmetic number, because the mean of its divisors is an integer number (3559545).

Almost surely, 2148799616 is an apocalyptic number.

148799616 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 148799616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227810880).

148799616 is an abundant number, since it is smaller than the sum of its proper divisors (306822144).

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

148799616 is a wasteful number, since it uses less digits than its factorization.

148799616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 148799616 is about 12198.3448057513. The cubic root of 148799616 is about 529.9081554390.

The spelling of 148799616 in words is "one hundred forty-eight million, seven hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 197 224 281 336 384 394 448 562 591 672 788 843 896 1124 1182 1344 1379 1576 1686 1967 2248 2364 2688 2758 3152 3372 3934 4137 4496 4728 5516 5901 6304 6744 7868 8274 8992 9456 11032 11802 12608 13488 15736 16548 17984 18912 22064 23604 25216 26976 31472 33096 35968 37824 44128 47208 53952 55357 62944 66192 75648 88256 94416 107904 110714 125888 132384 166071 176512 188832 221428 251776 264768 332142 377664 387499 442856 529536 664284 755328 774998 885712 1162497 1328568 1549996 1771424 2324994 2657136 3099992 3542848 4649988 5314272 6199984 7085696 9299976 10628544 12399968 18599952 21257088 24799936 37199904 49599872 74399808 148799616