Search a number
-
+
74416950 = 23252612711
BaseRepresentation
bin1000110111110…
…00001100110110
312012000202212100
410123320030312
5123022320300
611215002530
71562351016
oct433701466
9165022770
1074416950
1139008613
1220b09446
13125570ca
149c51c46
1567ee700
hex46f8336

74416950 has 72 divisors (see below), whose sum is σ = 203286096. Its totient is φ = 19512000.

The previous prime is 74416931. The next prime is 74416997. The reversal of 74416950 is 5961447.

It is a super-3 number, since 3×744169503 (a number of 25 digits) contains 333 as substring.

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 Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26095 + ... + 28805.

It is an arithmetic number, because the mean of its divisors is an integer number (2823418).

Almost surely, 274416950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74416950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101643048).

74416950 is an abundant number, since it is smaller than the sum of its proper divisors (128869146).

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

74416950 is a wasteful number, since it uses less digits than its factorization.

74416950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2782 counting only the distinct ones).

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

The square root of 74416950 is about 8626.5259519693. The cubic root of 74416950 is about 420.6206809380.

The spelling of 74416950 in words is "seventy-four million, four hundred sixteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 150 183 225 305 366 450 549 610 915 1098 1525 1830 2711 2745 3050 4575 5422 5490 8133 9150 13555 13725 16266 24399 27110 27450 40665 48798 67775 81330 121995 135550 165371 203325 243990 330742 406650 496113 609975 826855 992226 1219950 1488339 1653710 2480565 2976678 4134275 4961130 7441695 8268550 12402825 14883390 24805650 37208475 74416950