Search a number
-
+
50829372 = 223211472731
BaseRepresentation
bin1100000111100…
…1100000111100
310112122101210100
43001321200330
5101003014442
65013241100
71155020406
oct301714074
9115571710
1050829372
1126767950
1215033190
13a6b8a69
146a71b76
1546e084c
hex307983c

50829372 has 72 divisors (see below), whose sum is σ = 143200512. Its totient is φ = 15069600.

The previous prime is 50829341. The next prime is 50829451. The reversal of 50829372 is 27392805.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17247 + ... + 19977.

It is an arithmetic number, because the mean of its divisors is an integer number (1988896).

Almost surely, 250829372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50829372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71600256).

50829372 is an abundant number, since it is smaller than the sum of its proper divisors (92371140).

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

50829372 is a wasteful number, since it uses less digits than its factorization.

50829372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 50829372 is about 7129.4720702167. The cubic root of 50829372 is about 370.4289449428.

The spelling of 50829372 in words is "fifty million, eight hundred twenty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 2731 3102 4653 5462 6204 8193 9306 10924 16386 18612 24579 30041 32772 49158 60082 90123 98316 120164 128357 180246 256714 270369 360492 385071 513428 540738 770142 1081476 1155213 1411927 1540284 2310426 2823854 4235781 4620852 5647708 8471562 12707343 16943124 25414686 50829372