Search a number
-
+
73861398 = 232131937449
BaseRepresentation
bin1000110011100…
…00100100010110
312010222112210100
410121300210112
5122402031043
611155034530
71554545232
oct431604426
9163875710
1073861398
1138769186
122089ba46
13123c1290
149b495c2
15673ecd3
hex4670916

73861398 has 96 divisors (see below), whose sum is σ = 186732000. Its totient is φ = 20901888.

The previous prime is 73861387. The next prime is 73861429. The reversal of 73861398 is 89316837.

It is a happy number.

It is a super-2 number, since 2×738613982 = 10911012229028808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164278 + ... + 164726.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 273861398 is an apocalyptic number.

73861398 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73861398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366000).

73861398 is an abundant number, since it is smaller than the sum of its proper divisors (112870602).

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

73861398 is a wasteful number, since it uses less digits than its factorization.

73861398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 73861398 is about 8594.2654136348. The cubic root of 73861398 is about 419.5713654232.

The spelling of 73861398 in words is "seventy-three million, eight hundred sixty-one thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 19 26 37 38 39 57 74 78 111 114 117 171 222 234 247 333 342 449 481 494 666 703 741 898 962 1347 1406 1443 1482 2109 2223 2694 2886 4041 4218 4329 4446 5837 6327 8082 8531 8658 9139 11674 12654 16613 17062 17511 18278 25593 27417 33226 35022 49839 51186 52533 54834 76779 82251 99678 105066 110903 149517 153558 164502 215969 221806 299034 315647 332709 431938 631294 647907 665418 946941 998127 1295814 1893882 1943721 1996254 2840823 3887442 4103411 5681646 8206822 12310233 24620466 36930699 73861398