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148890984 = 2331135979
BaseRepresentation
bin10001101111111…
…10010101101000
3101101011110000220
420313332111220
5301104002414
622435130040
73455360334
oct1067762550
9341143026
10148890984
1177055000
1241a43920
1324b01198
1415aba7c4
15d110ca9
hex8dfe568

148890984 has 128 divisors (see below), whose sum is σ = 421632000. Its totient is φ = 43792320.

The previous prime is 148890979. The next prime is 148891003. The reversal of 148890984 is 489098841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884657 + ... + 1884735.

It is an arithmetic number, because the mean of its divisors is an integer number (3294000).

Almost surely, 2148890984 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 148890984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210816000).

148890984 is an abundant number, since it is smaller than the sum of its proper divisors (272741016).

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

148890984 is a wasteful number, since it uses less digits than its factorization.

148890984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 148890984 is about 12202.0893292911. The cubic root of 148890984 is about 530.0165937608.

The spelling of 148890984 in words is "one hundred forty-eight million, eight hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 79 88 118 121 132 158 177 236 237 242 264 316 354 363 472 474 484 632 649 708 726 869 948 968 1298 1331 1416 1452 1738 1896 1947 2596 2607 2662 2904 3476 3894 3993 4661 5192 5214 5324 6952 7139 7788 7986 9322 9559 10428 10648 13983 14278 15576 15972 18644 19118 20856 21417 27966 28556 28677 31944 37288 38236 42834 51271 55932 57112 57354 76472 78529 85668 102542 105149 111864 114708 153813 157058 171336 205084 210298 229416 235587 307626 314116 315447 410168 420596 471174 563981 615252 628232 630894 841192 942348 1127962 1230504 1261788 1691943 1884696 2255924 2523576 3383886 4511848 6203791 6767772 12407582 13535544 18611373 24815164 37222746 49630328 74445492 148890984