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149329488 = 24371123673
BaseRepresentation
bin10001110011010…
…01011001010000
3101101222201112210
420321221121100
5301212020423
622452352120
73462164640
oct1071513120
9341881483
10149329488
1177324500
1242015640
1324c25959
1415b92520
15d19ab93
hex8e69650

149329488 has 120 divisors (see below), whose sum is σ = 484732864. Its totient is φ = 38776320.

The previous prime is 149329469. The next prime is 149329489. The reversal of 149329488 is 884923941.

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 (149329489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38820 + ... + 42492.

Almost surely, 2149329488 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 149329488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242366432).

149329488 is an abundant number, since it is smaller than the sum of its proper divisors (335403376).

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

149329488 is a wasteful number, since it uses less digits than its factorization.

149329488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3696 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 149329488 is about 12220.0445171039. The cubic root of 149329488 is about 530.5364072038.

The spelling of 149329488 in words is "one hundred forty-nine million, three hundred twenty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3673 3696 5082 5808 6776 7346 10164 11019 13552 14692 20328 22038 25711 29384 40403 40656 44076 51422 58768 77133 80806 88152 102844 121209 154266 161612 176304 205688 242418 282821 308532 323224 411376 444433 484836 565642 617064 646448 848463 888866 969672 1131284 1234128 1333299 1696926 1777732 1939344 2262568 2666598 3111031 3393852 3555464 4525136 5333196 6222062 6787704 7110928 9333093 10666392 12444124 13575408 18666186 21332784 24888248 37332372 49776496 74664744 149329488