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148810752 = 2103267241
BaseRepresentation
bin10001101111010…
…10110000000000
3101101000100222100
420313222300000
5301043421002
622433310400
73454604406
oct1067526000
9341010870
10148810752
1176aaa7a2
1241a05400
1324aa37cc
1415a99476
15d0e711c
hex8deac00

148810752 has 132 divisors (see below), whose sum is σ = 437910616. Its totient is φ = 48660480.

The previous prime is 148810751. The next prime is 148810777. The reversal of 148810752 is 257018841.

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 (148810751) 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, 617352 + ... + 617592.

Almost surely, 2148810752 is an apocalyptic number.

148810752 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 148810752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218955308).

148810752 is an abundant number, since it is smaller than the sum of its proper divisors (289099864).

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

148810752 is a wasteful number, since it uses less digits than its factorization.

148810752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 148810752 is about 12198.8012525822. The cubic root of 148810752 is about 529.9213743576.

The spelling of 148810752 in words is "one hundred forty-eight million, eight hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 241 256 268 288 384 402 482 512 536 576 603 723 768 804 964 1024 1072 1152 1206 1446 1536 1608 1928 2144 2169 2304 2412 2892 3072 3216 3856 4288 4338 4608 4824 5784 6432 7712 8576 8676 9216 9648 11568 12864 15424 16147 17152 17352 19296 23136 25728 30848 32294 34304 34704 38592 46272 48441 51456 61696 64588 68608 69408 77184 92544 96882 102912 123392 129176 138816 145323 154368 185088 193764 205824 246784 258352 277632 290646 308736 370176 387528 516704 555264 581292 617472 740352 775056 1033408 1110528 1162584 1550112 2066816 2221056 2325168 3100224 4133632 4650336 6200448 8267264 9300672 12400896 16534528 18601344 24801792 37202688 49603584 74405376 148810752