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5042723000 = 235372924841
BaseRepresentation
bin1001011001001000…
…11101100010111000
3111000102202212111112
410230210131202320
540311414114000
62152215015452
7235651303220
oct45444354270
914012685445
105042723000
112158538477
12b8896a588
13624969983
1435ba23080
151e7a95235
hex12c91d8b8

5042723000 has 128 divisors (see below), whose sum is σ = 13951267200. Its totient is φ = 1669248000.

The previous prime is 5042722943. The next prime is 5042723057. The reversal of 5042723000 is 3272405.

It is an interprime number because it is at equal distance from previous prime (5042722943) and next prime (5042723057).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190580 + ... + 215420.

It is an arithmetic number, because the mean of its divisors is an integer number (108994275).

Almost surely, 25042723000 is an apocalyptic number.

5042723000 is a gapful number since it is divisible by the number (50) 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 5042723000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975633600).

5042723000 is an abundant number, since it is smaller than the sum of its proper divisors (8908544200).

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

5042723000 is a wasteful number, since it uses less digits than its factorization.

5042723000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24898 (or 24884 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 5042723000 is about 71012.1327661689. The cubic root of 5042723000 is about 1714.8324939036.

Adding to 5042723000 its reverse (3272405), we get a palindrome (5045995405).

The spelling of 5042723000 in words is "five billion, forty-two million, seven hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 125 140 145 175 200 203 232 250 280 290 350 406 500 580 700 725 812 875 1000 1015 1160 1400 1450 1624 1750 2030 2900 3500 3625 4060 5075 5800 7000 7250 8120 10150 14500 20300 24841 25375 29000 40600 49682 50750 99364 101500 124205 173887 198728 203000 248410 347774 496820 621025 695548 720389 869435 993640 1242050 1391096 1440778 1738870 2484100 2881556 3105125 3477740 3601945 4347175 4968200 5042723 5763112 6210250 6955480 7203890 8694350 10085446 12420500 14407780 17388700 18009725 20170892 21735875 24841000 25213615 28815560 34777400 36019450 40341784 43471750 50427230 72038900 86943500 90048625 100854460 126068075 144077800 173887000 180097250 201708920 252136150 360194500 504272300 630340375 720389000 1008544600 1260680750 2521361500 5042723000