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45290832 = 2431953937
BaseRepresentation
bin1010110011000…
…1010101010000
310011020000100020
42230301111100
543043301312
64254423440
71056652146
oct254612520
9104200306
1045290832
1123624744
1213201b80
1394c9b12
14602d596
153e9978c
hex2b31550

45290832 has 80 divisors (see below), whose sum is σ = 125616960. Its totient is φ = 14017536.

The previous prime is 45290831. The next prime is 45290857. The reversal of 45290832 is 23809254.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45290793 and 45290802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45290831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47868 + ... + 48804.

It is an arithmetic number, because the mean of its divisors is an integer number (1570212).

Almost surely, 245290832 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 45290832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62808480).

45290832 is an abundant number, since it is smaller than the sum of its proper divisors (80326128).

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

45290832 is a wasteful number, since it uses less digits than its factorization.

45290832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 45290832 is about 6729.8463578302. The cubic root of 45290832 is about 356.4539510532.

The spelling of 45290832 in words is "forty-five million, two hundred ninety thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 424 456 636 848 912 937 1007 1272 1874 2014 2544 2811 3021 3748 4028 5622 6042 7496 8056 11244 12084 14992 16112 17803 22488 24168 35606 44976 48336 49661 53409 71212 99322 106818 142424 148983 198644 213636 284848 297966 397288 427272 595932 794576 854544 943559 1191864 1887118 2383728 2830677 3774236 5661354 7548472 11322708 15096944 22645416 45290832