Search a number
-
+
52083003400 = 23527318119709
BaseRepresentation
bin110000100000011000…
…111001000000001000
311222102202100201002221
4300200120321000020
51323131222102100
635532051303424
73522444136651
oct604030710010
9158382321087
1052083003400
11200a755236a
12a1165aab74
134bb048950c
142741234528
15154c6a101a
hexc20639008

52083003400 has 96 divisors (see below), whose sum is σ = 123436240200. Its totient is φ = 20433254400.

The previous prime is 52083003383. The next prime is 52083003409. The reversal of 52083003400 is 430038025.

It can be written as a sum of positive squares in 12 ways, for example, as 129095044 + 51953908356 = 11362^2 + 227934^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (52083003409) 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, 2632746 + ... + 2652454.

Almost surely, 252083003400 is an apocalyptic number.

52083003400 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 52083003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61718120100).

52083003400 is an abundant number, since it is smaller than the sum of its proper divisors (71353236800).

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

52083003400 is a wasteful number, since it uses less digits than its factorization.

52083003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19979 (or 19970 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 52083003400 in words is "fifty-two billion, eighty-three million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 181 200 292 362 365 584 724 730 905 1448 1460 1810 1825 2920 3620 3650 4525 7240 7300 9050 13213 14600 18100 19709 26426 36200 39418 52852 66065 78836 98545 105704 132130 157672 197090 264260 330325 394180 492725 528520 660650 788360 985450 1321300 1438757 1970900 2642600 2877514 3567329 3941800 5755028 7134658 7193785 11510056 14269316 14387570 17836645 28538632 28775140 35673290 35968925 57550280 71346580 71937850 89183225 142693160 143875700 178366450 260415017 287751400 356732900 520830034 713465800 1041660068 1302075085 2083320136 2604150170 5208300340 6510375425 10416600680 13020750850 26041501700 52083003400