[go: up one dir, main page]

Search a number
-
+
38542500 = 223354571
BaseRepresentation
bin1001001100000…
…1110010100100
32200112011101000
42103001302210
534331330000
63454033300
7645414543
oct223016244
980464330
1038542500
111a835607
1210aa8830
137ca6319
14519415a
1535b5000
hex24c1ca4

38542500 has 120 divisors (see below), whose sum is σ = 125084960. Its totient is φ = 10260000.

The previous prime is 38542489. The next prime is 38542523. The reversal of 38542500 is 524583.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67215 + ... + 67785.

Almost surely, 238542500 is an apocalyptic number.

38542500 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 38542500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62542480).

38542500 is an abundant number, since it is smaller than the sum of its proper divisors (86542460).

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

38542500 is a wasteful number, since it uses less digits than its factorization.

38542500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 38542500 is about 6208.2606259725. The cubic root of 38542500 is about 337.7898744161.

The spelling of 38542500 in words is "thirty-eight million, five hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 571 625 675 750 900 1125 1142 1250 1350 1500 1713 1875 2250 2284 2500 2700 2855 3375 3426 3750 4500 5139 5625 5710 6750 6852 7500 8565 10278 11250 11420 13500 14275 15417 16875 17130 20556 22500 25695 28550 30834 33750 34260 42825 51390 57100 61668 67500 71375 77085 85650 102780 128475 142750 154170 171300 214125 256950 285500 308340 356875 385425 428250 513900 642375 713750 770850 856500 1070625 1284750 1427500 1541700 1927125 2141250 2569500 3211875 3854250 4282500 6423750 7708500 9635625 12847500 19271250 38542500