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45290232 = 2333131272
BaseRepresentation
bin1010110011000…
…1001011111000
310011012222112000
42230301023320
543043241412
64254421000
71056650331
oct254611370
9104188460
1045290232
1123624249
1213201760
1394c9770
14602d288
153e994dc
hex2b312f8

45290232 has 96 divisors (see below), whose sum is σ = 136558800. Its totient is φ = 13825728.

The previous prime is 45290177. The next prime is 45290239. The reversal of 45290232 is 23209254.

45290232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×452902322 = 4102410229227648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45290196 and 45290205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45290239) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 356553 + ... + 356679.

Almost surely, 245290232 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 45290232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68279400).

45290232 is an abundant number, since it is smaller than the sum of its proper divisors (91268568).

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

45290232 is a wasteful number, since it uses less digits than its factorization.

45290232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45290232 is about 6729.8017801418. The cubic root of 45290232 is about 356.4523769795.

Adding to 45290232 its reverse (23209254), we get a palindrome (68499486).

The spelling of 45290232 in words is "forty-five million, two hundred ninety thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 127 156 216 234 254 312 351 381 468 508 702 762 936 1016 1143 1404 1524 1651 2286 2808 3048 3302 3429 4572 4953 6604 6858 9144 9906 13208 13716 14859 16129 19812 27432 29718 32258 39624 44577 48387 59436 64516 89154 96774 118872 129032 145161 178308 193548 209677 290322 356616 387096 419354 435483 580644 629031 838708 870966 1161288 1258062 1677416 1741932 1887093 2516124 3483864 3774186 5032248 5661279 7548372 11322558 15096744 22645116 45290232