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4626972 = 2232724361
BaseRepresentation
bin10001101001101000011100
322201002000100
4101221220130
52141030342
6243101100
754220500
oct21515034
98632010
104626972
112680349
121671790
13c6006c
14886300
15615e4c
hex469a1c

4626972 has 108 divisors (see below), whose sum is σ = 14150136. Its totient is φ = 1270080.

The previous prime is 4626917. The next prime is 4626977. The reversal of 4626972 is 2796264.

It is a happy number.

4626972 is nontrivially palindromic in base 13.

4626972 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4626977) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75822 + ... + 75882.

Almost surely, 24626972 is an apocalyptic number.

4626972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4626972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7075068).

4626972 is an abundant number, since it is smaller than the sum of its proper divisors (9523164).

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

4626972 is a wasteful number, since it uses less digits than its factorization.

4626972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 4626972 is about 2151.0397485867. The cubic root of 4626972 is about 166.6347690067.

The spelling of 4626972 in words is "four million, six hundred twenty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 49 61 63 84 86 98 122 126 129 147 172 183 196 244 252 258 294 301 366 387 427 441 516 549 588 602 732 774 854 882 903 1098 1204 1281 1548 1708 1764 1806 2107 2196 2562 2623 2709 2989 3612 3843 4214 5124 5246 5418 5978 6321 7686 7869 8428 8967 10492 10836 11956 12642 15372 15738 17934 18361 18963 23607 25284 26901 31476 35868 36722 37926 47214 53802 55083 73444 75852 94428 107604 110166 128527 165249 220332 257054 330498 385581 514108 660996 771162 1156743 1542324 2313486 4626972