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148203864 = 23332772477
BaseRepresentation
bin10001101010101…
…10100101011000
3101022212112111000
420311112211120
5300420010424
622412305000
73446466144
oct1065264530
9338775430
10148203864
1176725836
1241772160
13249204c3
141597c224
15d0273c9
hex8d56958

148203864 has 64 divisors (see below), whose sum is σ = 413330400. Its totient is φ = 49203072.

The previous prime is 148203863. The next prime is 148203871. The reversal of 148203864 is 468302841.

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 (148203863) 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, 58594 + ... + 61070.

Almost surely, 2148203864 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 148203864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206665200).

148203864 is an abundant number, since it is smaller than the sum of its proper divisors (265126536).

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

148203864 is a wasteful number, since it uses less digits than its factorization.

148203864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 148203864 is about 12173.9009360188. The cubic root of 148203864 is about 529.2000082270.

The spelling of 148203864 in words is "one hundred forty-eight million, two hundred three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 277 554 831 1108 1662 2216 2477 2493 3324 4954 4986 6648 7431 7479 9908 9972 14862 14958 19816 19944 22293 29724 29916 44586 59448 59832 66879 89172 133758 178344 267516 535032 686129 1372258 2058387 2744516 4116774 5489032 6175161 8233548 12350322 16467096 18525483 24700644 37050966 49401288 74101932 148203864