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149393916 = 22337732707
BaseRepresentation
bin10001110011110…
…01000111111100
3101102002222221000
420321321013330
5301221101131
622454010300
73462553530
oct1071710774
9342088830
10149393916
1177368951
1242046990
1324c49089
1415babbc0
15d1aece6
hex8e791fc

149393916 has 96 divisors (see below), whose sum is σ = 448878080. Its totient is φ = 42083712.

The previous prime is 149393891. The next prime is 149393917. The reversal of 149393916 is 619393941.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149393917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53835 + ... + 56541.

Almost surely, 2149393916 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 149393916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224439040).

149393916 is an abundant number, since it is smaller than the sum of its proper divisors (299484164).

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

149393916 is a wasteful number, since it uses less digits than its factorization.

149393916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2792 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 149393916 is about 12222.6803934325. The cubic root of 149393916 is about 530.6126959651.

The spelling of 149393916 in words is "one hundred forty-nine million, three hundred ninety-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 189 219 252 292 378 438 511 657 756 876 1022 1314 1533 1971 2044 2628 2707 3066 3942 4599 5414 6132 7884 8121 9198 10828 13797 16242 18396 18949 24363 27594 32484 37898 48726 55188 56847 73089 75796 97452 113694 146178 170541 197611 227388 292356 341082 395222 511623 592833 682164 790444 1023246 1185666 1383277 1778499 2046492 2371332 2766554 3556998 4149831 5335497 5533108 7113996 8299662 10670994 12449493 16599324 21341988 24898986 37348479 49797972 74696958 149393916