Search a number
-
+
29946924 = 22327151787
BaseRepresentation
bin111001000111…
…1010000101100
32002100110110100
41302033100230
530131300144
62545511100
7512354550
oct162172054
962313410
1029946924
11159a4627
12a042490
136286a97
143d97860
152968269
hex1c8f42c

29946924 has 72 divisors (see below), whose sum is σ = 87196928. Its totient is φ = 8488800.

The previous prime is 29946887. The next prime is 29946947. The reversal of 29946924 is 42964992.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29946924.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37659 + ... + 38445.

Almost surely, 229946924 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 29946924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43598464).

29946924 is an abundant number, since it is smaller than the sum of its proper divisors (57250004).

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

29946924 is a wasteful number, since it uses less digits than its factorization.

29946924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 950 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 29946924 is about 5472.3782763987. The cubic root of 29946924 is about 310.5398985657.

The spelling of 29946924 in words is "twenty-nine million, nine hundred forty-six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 252 302 453 604 787 906 1057 1359 1574 1812 2114 2361 2718 3148 3171 4228 4722 5436 5509 6342 7083 9444 9513 11018 12684 14166 16527 19026 22036 28332 33054 38052 49581 66108 99162 118837 198324 237674 356511 475348 713022 831859 1069533 1426044 1663718 2139066 2495577 3327436 4278132 4991154 7486731 9982308 14973462 29946924