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5542732032 = 2838389977
BaseRepresentation
bin1010010100101111…
…10110000100000000
3112022021121221221120
411022113312010000
542322414411112
62313555552240
7254232305415
oct51227660400
915267557846
105542732032
112394800682
1210a82bb680
136a4425bc6
143a81bc10c
15226910e8c
hex14a5f6100

5542732032 has 144 divisors (see below), whose sum is σ = 15112681920. Its totient is φ = 1802960896.

The previous prime is 5542732021. The next prime is 5542732057. The reversal of 5542732032 is 2302372455.

It is a junction number, because it is equal to n+sod(n) for n = 5542731984 and 5542732002.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5672728 + ... + 5673704.

It is an arithmetic number, because the mean of its divisors is an integer number (104949180).

Almost surely, 25542732032 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 5542732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7556340960).

5542732032 is an abundant number, since it is smaller than the sum of its proper divisors (9569949888).

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

5542732032 is an equidigital number, since it uses as much as digits as its factorization.

5542732032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The square root of 5542732032 is about 74449.5267412762. The cubic root of 5542732032 is about 1769.7338627594.

The spelling of 5542732032 in words is "five billion, five hundred forty-two million, seven hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 89 96 128 166 178 192 249 256 267 332 356 384 498 534 664 712 768 977 996 1068 1328 1424 1954 1992 2136 2656 2848 2931 3908 3984 4272 5312 5696 5862 7387 7816 7968 8544 10624 11392 11724 14774 15632 15936 17088 21248 22161 22784 23448 29548 31264 31872 34176 44322 46896 59096 62528 63744 68352 81091 86953 88644 93792 118192 125056 162182 173906 177288 187584 236384 243273 250112 260859 324364 347812 354576 375168 472768 486546 521718 648728 695624 709152 750336 945536 973092 1043436 1297456 1391248 1418304 1891072 1946184 2086872 2594912 2782496 2836608 3892368 4173744 5189824 5564992 5673216 7217099 7784736 8347488 10379648 11129984 14434198 15569472 16694976 20759296 21651297 22259968 28868396 31138944 33389952 43302594 57736792 62277888 66779904 86605188 115473584 173210376 230947168 346420752 461894336 692841504 923788672 1385683008 1847577344 2771366016 5542732032