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45025632 = 253429599
BaseRepresentation
bin1010101111000…
…0100101100000
310010201112120000
42223300211200
543011310012
64245020000
71054466031
oct253604540
9103645500
1045025632
1123463473
12130b4600
1394361b2
145da0a88
153e45ddc
hex2af0960

45025632 has 120 divisors (see below), whose sum is σ = 137214000. Its totient is φ = 14466816.

The previous prime is 45025627. The next prime is 45025637. The reversal of 45025632 is 23652054.

45025632 is a `hidden beast` number, since 4 + 5 + 0 + 25 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (45025627) and next prime (45025637).

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 = 45025596 and 45025605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45025637) 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 19 ways as a sum of consecutive naturals, for example, 74869 + ... + 75467.

It is an arithmetic number, because the mean of its divisors is an integer number (1143450).

Almost surely, 245025632 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 45025632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68607000).

45025632 is an abundant number, since it is smaller than the sum of its proper divisors (92188368).

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

45025632 is a wasteful number, since it uses less digits than its factorization.

45025632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45025632 is about 6710.1141570021. The cubic root of 45025632 is about 355.7568511782.

Adding to 45025632 its reverse (23652054), we get a palindrome (68677686).

The spelling of 45025632 in words is "forty-five million, twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 599 648 696 783 864 928 1044 1198 1296 1392 1566 1797 2088 2349 2396 2592 2784 3132 3594 4176 4698 4792 5391 6264 7188 8352 9396 9584 10782 12528 14376 16173 17371 18792 19168 21564 25056 28752 32346 34742 37584 43128 48519 52113 57504 64692 69484 75168 86256 97038 104226 129384 138968 156339 172512 194076 208452 258768 277936 312678 388152 416904 469017 517536 555872 625356 776304 833808 938034 1250712 1407051 1552608 1667616 1876068 2501424 2814102 3752136 5002848 5628204 7504272 11256408 15008544 22512816 45025632