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5033413400 = 2352371674073
BaseRepresentation
bin1001011000000001…
…11100101100011000
3110222210020220010112
410230000330230120
540302023212100
62151243303452
7235506210431
oct45400745430
913883226115
105033413400
112153259a94
12b8581ab88
13622a5a432
1435a6bc488
151e6d56b35
hex12c03cb18

5033413400 has 96 divisors (see below), whose sum is σ = 12093913440. Its totient is φ = 1946741760.

The previous prime is 5033413349. The next prime is 5033413439. The reversal of 5033413400 is 43143305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1233764 + ... + 1237836.

It is an arithmetic number, because the mean of its divisors is an integer number (125978265).

Almost surely, 25033413400 is an apocalyptic number.

5033413400 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 5033413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046956720).

5033413400 is an abundant number, since it is smaller than the sum of its proper divisors (7060500040).

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

5033413400 is a wasteful number, since it uses less digits than its factorization.

5033413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 5033413400 is about 70946.5531227557. The cubic root of 5033413400 is about 1713.7765671171.

Adding to 5033413400 its reverse (43143305), we get a palindrome (5076556705).

The spelling of 5033413400 in words is "five billion, thirty-three million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 167 185 200 296 334 370 668 740 835 925 1336 1480 1670 1850 3340 3700 4073 4175 6179 6680 7400 8146 8350 12358 16292 16700 20365 24716 30895 32584 33400 40730 49432 61790 81460 101825 123580 150701 154475 162920 203650 247160 301402 308950 407300 602804 617900 680191 753505 814600 1205608 1235800 1360382 1507010 2720764 3014020 3400955 3767525 5441528 6028040 6801910 7535050 13603820 15070100 17004775 25167067 27207640 30140200 34009550 50334134 68019100 100668268 125835335 136038200 201336536 251670670 503341340 629176675 1006682680 1258353350 2516706700 5033413400