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149998056 = 233134753193
BaseRepresentation
bin10001111000011…
…00100111101000
3101110020200122120
420330030213220
5301344414211
622514551240
73500651055
oct1074144750
9343220576
10149998056
117774083a
1242298520
13250cb060
1415cc802c
15d27dd06
hex8f0c9e8

149998056 has 128 divisors (see below), whose sum is σ = 422392320. Its totient is φ = 44089344.

The previous prime is 149998039. The next prime is 149998067. The reversal of 149998056 is 650899941.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777096 + ... + 777288.

It is an arithmetic number, because the mean of its divisors is an integer number (3299940).

Almost surely, 2149998056 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 149998056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211196160).

149998056 is an abundant number, since it is smaller than the sum of its proper divisors (272394264).

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

149998056 is a wasteful number, since it uses less digits than its factorization.

149998056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 149998056 is about 12247.3693501911. The cubic root of 149998056 is about 531.3269892389.

The spelling of 149998056 in words is "one hundred forty-nine million, nine hundred ninety-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 53 78 94 104 106 141 156 159 188 193 212 282 312 318 376 386 424 564 579 611 636 689 772 1128 1158 1222 1272 1378 1544 1833 2067 2316 2444 2491 2509 2756 3666 4134 4632 4888 4982 5018 5512 7332 7473 7527 8268 9071 9964 10036 10229 14664 14946 15054 16536 18142 19928 20072 20458 27213 29892 30108 30687 32383 36284 40916 54426 59784 60216 61374 64766 72568 81832 97149 108852 117923 122748 129532 132977 194298 217704 235846 245496 259064 265954 353769 388596 398931 471692 480763 531908 707538 777192 797862 943384 961526 1063816 1415076 1442289 1595724 1923052 2830152 2884578 3191448 3846104 5769156 6249919 11538312 12499838 18749757 24999676 37499514 49999352 74999028 149998056