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148404464 = 24132367463
BaseRepresentation
bin10001101100001…
…11100011110000
3101100020201122122
420312013203300
5300442420324
622420453412
73451263035
oct1066074360
9340221578
10148404464
117685251a
124184a268
13249908c0
14159d138c
15d066a5e
hex8d878f0

148404464 has 80 divisors (see below), whose sum is σ = 328645632. Its totient is φ = 64399104.

The previous prime is 148404337. The next prime is 148404467. The reversal of 148404464 is 464404841.

148404464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148404467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320297 + ... + 320759.

Almost surely, 2148404464 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 148404464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164322816).

148404464 is an abundant number, since it is smaller than the sum of its proper divisors (180241168).

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

148404464 is a wasteful number, since it uses less digits than its factorization.

148404464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The square root of 148404464 is about 12182.1370867348. The cubic root of 148404464 is about 529.4386652107.

The spelling of 148404464 in words is "one hundred forty-eight million, four hundred four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 67 92 104 134 184 208 268 299 368 463 536 598 871 926 1072 1196 1541 1742 1852 2392 3082 3484 3704 4784 6019 6164 6968 7408 10649 12038 12328 13936 20033 21298 24076 24656 31021 40066 42596 48152 62042 80132 85192 96304 124084 138437 160264 170384 248168 276874 320528 403273 496336 553748 713483 806546 1107496 1426966 1613092 2214992 2853932 3226184 5707864 6452368 9275279 11415728 18550558 37101116 74202232 148404464