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148974816 = 25310714503
BaseRepresentation
bin10001110000100…
…10110011100000
3101101022201000210
420320102303200
5301114143231
622441014120
73456156624
oct1070226340
9341281023
10148974816
1177101a91
1241a84340
1324b303a3
1415add184
15d12aa46
hex8e12ce0

148974816 has 48 divisors (see below), whose sum is σ = 394740864. Its totient is φ = 49190784.

The previous prime is 148974811. The next prime is 148974817. The reversal of 148974816 is 618479841.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148974811) 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 7 ways as a sum of consecutive naturals, for example, 3021 + ... + 17523.

It is an arithmetic number, because the mean of its divisors is an integer number (8223768).

Almost surely, 2148974816 is an apocalyptic number.

148974816 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 148974816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197370432).

148974816 is an abundant number, since it is smaller than the sum of its proper divisors (245766048).

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

148974816 is a wasteful number, since it uses less digits than its factorization.

148974816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14623 (or 14615 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 148974816 is about 12205.5239953064. The cubic root of 148974816 is about 530.1160491103.

The spelling of 148974816 in words is "one hundred forty-eight million, nine hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 14503 29006 43509 58012 87018 116024 174036 232048 348072 464096 696144 1392288 1551821 3103642 4655463 6207284 9310926 12414568 18621852 24829136 37243704 49658272 74487408 148974816