Search a number
-
+
73918950 = 23527289113
BaseRepresentation
bin1000110011111…
…10100111100110
312011002110201220
410121332213212
5122410401300
611200201210
71555205100
oct431764746
9164073656
1073918950
11387a8446
1220909206
1312411531
149b62570
156751da0
hex467e9e6

73918950 has 144 divisors (see below), whose sum is σ = 217553040. Its totient is φ = 16558080.

The previous prime is 73918939. The next prime is 73918961. The reversal of 73918950 is 5981937.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73918939) and next prime (73918961).

It is a super-2 number, since 2×739189502 = 10928022338205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 654094 + ... + 654206.

It is an arithmetic number, because the mean of its divisors is an integer number (1510785).

Almost surely, 273918950 is an apocalyptic number.

73918950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73918950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108776520).

73918950 is an abundant number, since it is smaller than the sum of its proper divisors (143634090).

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

73918950 is a wasteful number, since it uses less digits than its factorization.

73918950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 73918950 is about 8597.6130408387. The cubic root of 73918950 is about 419.6803122834.

The spelling of 73918950 in words is "seventy-three million, nine hundred eighteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 89 98 105 113 147 150 175 178 210 226 245 267 294 339 350 445 490 525 534 565 623 678 735 791 890 1050 1130 1225 1246 1335 1470 1582 1695 1869 2225 2373 2450 2670 2825 3115 3390 3675 3738 3955 4361 4450 4746 5537 5650 6230 6675 7350 7910 8475 8722 9345 10057 11074 11865 13083 13350 15575 16611 16950 18690 19775 20114 21805 23730 26166 27685 30171 31150 33222 39550 43610 46725 50285 55370 59325 60342 65415 70399 83055 93450 100570 109025 118650 130830 138425 140798 150855 166110 211197 218050 251425 276850 301710 327075 351995 415275 422394 492793 502850 654150 703990 754275 830550 985586 1055985 1478379 1508550 1759975 2111970 2463965 2956758 3519950 4927930 5279925 7391895 10559850 12319825 14783790 24639650 36959475 73918950