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138449532 = 223132233293
BaseRepresentation
bin10000100000010…
…01001001111100
3100122111222001110
420100021021330
5240420341112
621423242020
73300541644
oct1020111174
9318458043
10138449532
1171173201
123a449310
13228b6700
141455d524
15c24c13c
hex840927c

138449532 has 72 divisors (see below), whose sum is σ = 352510704. Its totient is φ = 42272256.

The previous prime is 138449483. The next prime is 138449533. The reversal of 138449532 is 235944831.

It is a super-2 number, since 2×1384495322 = 38336545822038048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138449533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472378 + ... + 472670.

It is an arithmetic number, because the mean of its divisors is an integer number (4895982).

Almost surely, 2138449532 is an apocalyptic number.

138449532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138449532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176255352).

138449532 is an abundant number, since it is smaller than the sum of its proper divisors (214061172).

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

138449532 is a wasteful number, since it uses less digits than its factorization.

138449532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 138449532 is about 11766.4579207168. The cubic root of 138449532 is about 517.3254338979.

The spelling of 138449532 in words is "one hundred thirty-eight million, four hundred forty-nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 233 293 338 466 507 586 676 699 879 932 1014 1172 1398 1758 2028 2796 3029 3516 3809 6058 7618 9087 11427 12116 15236 18174 22854 36348 39377 45708 49517 68269 78754 99034 118131 136538 148551 157508 198068 204807 236262 273076 297102 409614 472524 594204 819228 887497 1774994 2662491 3549988 5324982 10649964 11537461 23074922 34612383 46149844 69224766 138449532