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138201448 = 237111571429
BaseRepresentation
bin10000011110011…
…00100101101000
3100122001100202011
420033030211220
5240334421243
621414045304
73265456450
oct1017144550
9318040664
10138201448
1171013880
123a349834
132282a808
14144d6d60
15c1ed89d
hex83cc968

138201448 has 64 divisors (see below), whose sum is σ = 325353600. Its totient is φ = 53464320.

The previous prime is 138201439. The next prime is 138201461. The reversal of 138201448 is 844102831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95998 + ... + 97426.

It is an arithmetic number, because the mean of its divisors is an integer number (5083650).

Almost surely, 2138201448 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 138201448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162676800).

138201448 is an abundant number, since it is smaller than the sum of its proper divisors (187152152).

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

138201448 is a wasteful number, since it uses less digits than its factorization.

138201448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 138201448 is about 11755.9111939483. The cubic root of 138201448 is about 517.0162553019.

The spelling of 138201448 in words is "one hundred thirty-eight million, two hundred one thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 157 308 314 616 628 1099 1256 1429 1727 2198 2858 3454 4396 5716 6908 8792 10003 11432 12089 13816 15719 20006 24178 31438 40012 48356 62876 80024 96712 110033 125752 220066 224353 440132 448706 880264 897412 1570471 1794824 2467883 3140942 4935766 6281884 9871532 12563768 17275181 19743064 34550362 69100724 138201448