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149292444 = 22371799929
BaseRepresentation
bin10001110011000…
…00010110011100
3101101220211201210
420321200112130
5301204324234
622451504420
73461651640
oct1071402634
9341824653
10149292444
11772a9694
1241bb8110
1324c11b32
1415b82c20
15d18ebe9
hex8e6059c

149292444 has 48 divisors (see below), whose sum is σ = 400377600. Its totient is φ = 42412416.

The previous prime is 149292413. The next prime is 149292457. The reversal of 149292444 is 444292941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10072 + ... + 20000.

It is an arithmetic number, because the mean of its divisors is an integer number (8341200).

Almost surely, 2149292444 is an apocalyptic number.

149292444 is a gapful number since it is divisible by the number (14) 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 149292444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200188800).

149292444 is an abundant number, since it is smaller than the sum of its proper divisors (251085156).

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

149292444 is a wasteful number, since it uses less digits than its factorization.

149292444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10122 (or 10120 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 149292444 is about 12218.5287166663. The cubic root of 149292444 is about 530.4925337169.

It can be divided in two parts, 1492924 and 44, that multiplied together give a palindrome (65688656).

The spelling of 149292444 in words is "one hundred forty-nine million, two hundred ninety-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 179 358 537 716 1074 1253 2148 2506 3759 5012 7518 9929 15036 19858 29787 39716 59574 69503 119148 139006 208509 278012 417018 834036 1777291 3554582 5331873 7109164 10663746 12441037 21327492 24882074 37323111 49764148 74646222 149292444