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148426992 = 2434716361
BaseRepresentation
bin10001101100011…
…01000011110000
3101100021212120000
420312031003300
5300444130432
622421150000
73451415520
oct1066150360
9340255500
10148426992
117686843a
124185b300
132499ac2c
14159d9680
15d06d57c
hex8d8d0f0

148426992 has 100 divisors (see below), whose sum is σ = 490990896. Its totient is φ = 42405120.

The previous prime is 148426973. The next prime is 148427029. The reversal of 148426992 is 299624841.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 892 + ... + 17252.

Almost surely, 2148426992 is an apocalyptic number.

148426992 is a gapful number since it is divisible by the number (12) 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 148426992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245495448).

148426992 is an abundant number, since it is smaller than the sum of its proper divisors (342563904).

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

148426992 is a wasteful number, since it uses less digits than its factorization.

148426992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16388 (or 16373 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 148426992 is about 12183.0616841581. The cubic root of 148426992 is about 529.4654536923.

The spelling of 148426992 in words is "one hundred forty-eight million, four hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 16361 32722 49083 65444 98166 114527 130888 147249 196332 229054 261776 294498 343581 392664 441747 458108 588996 687162 785328 883494 916216 1030743 1177992 1325241 1374324 1766988 1832432 2061486 2355984 2650482 2748648 3092229 3533976 4122972 5300964 5497296 6184458 7067952 8245944 9276687 10601928 12368916 16491888 18553374 21203856 24737832 37106748 49475664 74213496 148426992