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148974048 = 25321274073
BaseRepresentation
bin10001110000100…
…10100111100000
3101101022122222100
420320102213200
5301114132143
622441010400
73456154446
oct1070224740
9341278870
10148974048
1177101453
1241a83a00
1324b2cc32
1415adcb96
15d12a6d3
hex8e129e0

148974048 has 72 divisors (see below), whose sum is σ = 427085568. Its totient is φ = 49254912.

The previous prime is 148974047. The next prime is 148974061. The reversal of 148974048 is 840479841.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 148973994 and 148974012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148974047) 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, 34540 + ... + 38612.

It is an arithmetic number, because the mean of its divisors is an integer number (5931744).

Almost surely, 2148974048 is an apocalyptic number.

148974048 is a gapful number since it is divisible by the number (18) 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 148974048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213542784).

148974048 is an abundant number, since it is smaller than the sum of its proper divisors (278111520).

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

148974048 is a wasteful number, since it uses less digits than its factorization.

148974048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 148974048 is about 12205.4925341012. The cubic root of 148974048 is about 530.1151381514.

The spelling of 148974048 in words is "one hundred forty-eight million, nine hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2286 3048 4064 4073 4572 6096 8146 9144 12192 12219 16292 18288 24438 32584 36576 36657 48876 65168 73314 97752 130336 146628 195504 293256 391008 517271 586512 1034542 1173024 1551813 2069084 3103626 4138168 4655439 6207252 8276336 9310878 12414504 16552672 18621756 24829008 37243512 49658016 74487024 148974048