Search a number
-
+
3673690152 = 2331119372101
BaseRepresentation
bin1101101011111000…
…0001000000101000
3100111000200210111020
43122332001000220
530010431041102
61404311532440
7160015564626
oct33276010050
910430623436
103673690152
11161577a870
1286638a120
13467141472
1426bc92516
151677babbc
hexdaf81028

3673690152 has 64 divisors (see below), whose sum is σ = 10071207360. Its totient is φ = 1107456000.

The previous prime is 3673690129. The next prime is 3673690231. The reversal of 3673690152 is 2510963763.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14902 + ... + 87002.

It is an arithmetic number, because the mean of its divisors is an integer number (157362615).

Almost surely, 23673690152 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 3673690152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035603680).

3673690152 is an abundant number, since it is smaller than the sum of its proper divisors (6397517208).

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

3673690152 is a wasteful number, since it uses less digits than its factorization.

3673690152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72314 (or 72310 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 3673690152 is about 60610.9738578749. The cubic root of 3673690152 is about 1543.0056205236.

The spelling of 3673690152 in words is "three billion, six hundred seventy-three million, six hundred ninety thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 193 264 386 579 772 1158 1544 2123 2316 4246 4632 6369 8492 12738 16984 25476 50952 72101 144202 216303 288404 432606 576808 793111 865212 1586222 1730424 2379333 3172444 4758666 6344888 9517332 13915493 19034664 27830986 41746479 55661972 83492958 111323944 153070423 166985916 306140846 333971832 459211269 612281692 918422538 1224563384 1836845076 3673690152