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149967948 = 2231317193293
BaseRepresentation
bin10001111000001…
…01010001001100
3101110012011100110
420330011101030
5301342433243
622514200020
73500464224
oct1074052114
9343164313
10149967948
1177720159
1242283010
13250ba440
1415cbb084
15d274e33
hex8f0544c

149967948 has 96 divisors (see below), whose sum is σ = 402446016. Its totient is φ = 43057152.

The previous prime is 149967943. The next prime is 149967949. The reversal of 149967948 is 849769941.

It is not an unprimeable number, because it can be changed into a prime (149967943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511690 + ... + 511982.

It is an arithmetic number, because the mean of its divisors is an integer number (4192146).

Almost surely, 2149967948 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 149967948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201223008).

149967948 is an abundant number, since it is smaller than the sum of its proper divisors (252478068).

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

149967948 is a wasteful number, since it uses less digits than its factorization.

149967948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 521 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 149967948 is about 12246.1401265868. The cubic root of 149967948 is about 531.2914370816.

The spelling of 149967948 in words is "one hundred forty-nine million, nine hundred sixty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 193 204 221 293 386 442 579 586 663 772 879 884 1158 1172 1326 1758 2316 2509 2652 3281 3516 3809 4981 5018 6562 7527 7618 9843 9962 10036 11427 13124 14943 15054 15236 19686 19924 22854 29886 30108 39372 42653 45708 56549 59772 64753 85306 113098 127959 129506 169647 170612 194259 226196 255918 259012 339294 388518 511836 678588 735137 777036 961333 1470274 1922666 2205411 2883999 2940548 3845332 4410822 5767998 8821644 11535996 12497329 24994658 37491987 49989316 74983974 149967948