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4629372 = 22311172063
BaseRepresentation
bin10001101010001101111100
322201012022020
4101222031330
52141114442
6243120140
754230466
oct21521574
98635266
104629372
112682130
121673050
13c61197
14887136
156169ec
hex46a37c

4629372 has 48 divisors (see below), whose sum is σ = 12483072. Its totient is φ = 1319680.

The previous prime is 4629353. The next prime is 4629377. The reversal of 4629372 is 2739264.

4629372 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46293722 = 42862170228768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4629377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (260064).

Almost surely, 24629372 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 4629372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241536).

4629372 is an abundant number, since it is smaller than the sum of its proper divisors (7853700).

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

4629372 is a wasteful number, since it uses less digits than its factorization.

4629372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2096 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 4629372 is about 2151.5975460109. The cubic root of 4629372 is about 166.6635750538.

The spelling of 4629372 in words is "four million, six hundred twenty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2063 2244 4126 6189 8252 12378 22693 24756 35071 45386 68079 70142 90772 105213 136158 140284 210426 272316 385781 420852 771562 1157343 1543124 2314686 4629372