Search a number
-
+
8724942424 = 23111910634909
BaseRepresentation
bin10000010000000110…
…00000111001011000
3211112001111222221201
420020003000321120
5120332041124144
64001433443544
7426132533632
oct101003007130
924461458851
108724942424
113778003420
121835b705b4
13a907a6433
145caa95a52
15360e981d4
hex2080c0e58

8724942424 has 64 divisors (see below), whose sum is σ = 18807264000. Its totient is φ = 3752853120.

The previous prime is 8724942409. The next prime is 8724942451. The reversal of 8724942424 is 4242494278.

It is a super-2 number, since 2×87249424242 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774882 + ... + 1779790.

It is an arithmetic number, because the mean of its divisors is an integer number (293863500).

Almost surely, 28724942424 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 8724942424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9403632000).

8724942424 is an abundant number, since it is smaller than the sum of its proper divisors (10082321576).

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

8724942424 is a wasteful number, since it uses less digits than its factorization.

8724942424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6008 (or 6004 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The square root of 8724942424 is about 93407.4002635765. The cubic root of 8724942424 is about 2058.6737326645.

The spelling of 8724942424 in words is "eight billion, seven hundred twenty-four million, nine hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1063 1672 2126 4252 4909 8504 9818 11693 19636 20197 23386 39272 40394 46772 53999 80788 93271 93544 107998 161576 186542 215996 222167 373084 431992 444334 746168 888668 1025981 1777336 2051962 4103924 5218267 8207848 10436534 20873068 41746136 57400937 99147073 114801874 198294146 229603748 396588292 459207496 793176584 1090617803 2181235606 4362471212 8724942424