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148707744 = 25331107467
BaseRepresentation
bin10001101110100…
…01100110100000
3101100211010200020
420313101212200
5301032121434
622431153440
73453665163
oct1067214640
9340733606
10148707744
1176a3a369
1241975880
1324a68963
1415a6dada
15d0c6849
hex8dd19a0

148707744 has 96 divisors (see below), whose sum is σ = 407586816. Its totient is φ = 47420160.

The previous prime is 148707743. The next prime is 148707749. The reversal of 148707744 is 447707841.

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

It is a super-2 number, since 2×1487077442 = 44227986251139072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 148707696 and 148707705.

It is not an unprimeable number, because it can be changed into a prime (148707743) 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, 318199 + ... + 318665.

It is an arithmetic number, because the mean of its divisors is an integer number (4245696).

Almost surely, 2148707744 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 148707744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).

148707744 is an abundant number, since it is smaller than the sum of its proper divisors (258879072).

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

148707744 is a wasteful number, since it uses less digits than its factorization.

148707744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 42.

The square root of 148707744 is about 12194.5784674994. The cubic root of 148707744 is about 529.7990741876.

The spelling of 148707744 in words is "one hundred forty-eight million, seven hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 107 124 186 214 248 321 372 428 467 496 642 744 856 934 992 1284 1401 1488 1712 1868 2568 2802 2976 3317 3424 3736 5136 5604 6634 7472 9951 10272 11208 13268 14477 14944 19902 22416 26536 28954 39804 43431 44832 49969 53072 57908 79608 86862 99938 106144 115816 149907 159216 173724 199876 231632 299814 318432 347448 399752 463264 599628 694896 799504 1199256 1389792 1549039 1599008 2398512 3098078 4647117 4797024 6196156 9294234 12392312 18588468 24784624 37176936 49569248 74353872 148707744