Search a number
-
+
38113440 = 2535271293
BaseRepresentation
bin1001000101100…
…1000010100000
32122201100210220
42101121002200
534224112230
63440523040
7641646621
oct221310240
978640726
1038113440
111a572212
1210920480
137b85c41
1450c1a48
15352cd10
hex24590a0

38113440 has 96 divisors (see below), whose sum is σ = 120911616. Its totient is φ = 10091520.

The previous prime is 38113433. The next prime is 38113451. The reversal of 38113440 is 4431183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 38113440.

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, 129934 + ... + 130226.

It is an arithmetic number, because the mean of its divisors is an integer number (1259496).

Almost surely, 238113440 is an apocalyptic number.

38113440 is a gapful number since it is divisible by the number (30) 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 38113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60455808).

38113440 is an abundant number, since it is smaller than the sum of its proper divisors (82798176).

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

38113440 is a wasteful number, since it uses less digits than its factorization.

38113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 38113440 is about 6173.6083452062. The cubic root of 38113440 is about 336.5317543722.

The spelling of 38113440 in words is "thirty-eight million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 271 293 480 542 586 813 879 1084 1172 1355 1465 1626 1758 2168 2344 2710 2930 3252 3516 4065 4336 4395 4688 5420 5860 6504 7032 8130 8672 8790 9376 10840 11720 13008 14064 16260 17580 21680 23440 26016 28128 32520 35160 43360 46880 65040 70320 79403 130080 140640 158806 238209 317612 397015 476418 635224 794030 952836 1191045 1270448 1588060 1905672 2382090 2540896 3176120 3811344 4764180 6352240 7622688 9528360 12704480 19056720 38113440