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4290133152 = 2533112711351
BaseRepresentation
bin1111111110110110…
…0011110010100000
3102001222122100022110
43333231203302200
532241233230102
61545412235320
7211212346554
oct37755436240
912058570273
104290133152
111901739598
129b890bb40
13534a76436
142c9ab9864
151a198586c
hexffb63ca0

4290133152 has 96 divisors (see below), whose sum is σ = 11717443584. Its totient is φ = 1372896000.

The previous prime is 4290133151. The next prime is 4290133153. The reversal of 4290133152 is 2513310924.

It is an interprime number because it is at equal distance from previous prime (4290133151) and next prime (4290133153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4290133151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372277 + ... + 383627.

It is an arithmetic number, because the mean of its divisors is an integer number (122056704).

Almost surely, 24290133152 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 4290133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858721792).

4290133152 is an abundant number, since it is smaller than the sum of its proper divisors (7427310432).

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

4290133152 is a wasteful number, since it uses less digits than its factorization.

4290133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11522 (or 11514 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 4290133152 is about 65499.1080244609. The cubic root of 4290133152 is about 1624.8885953764. Note that the first 3 decimals are identical.

The spelling of 4290133152 in words is "four billion, two hundred ninety million, one hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 127 186 248 254 372 381 496 508 744 762 992 1016 1488 1524 2032 2976 3048 3937 4064 6096 7874 11351 11811 12192 15748 22702 23622 31496 34053 45404 47244 62992 68106 90808 94488 125984 136212 181616 188976 272424 351881 363232 377952 544848 703762 1055643 1089696 1407524 1441577 2111286 2815048 2883154 4222572 4324731 5630096 5766308 8445144 8649462 11260192 11532616 16890288 17298924 23065232 33780576 34597848 44688887 46130464 69195696 89377774 134066661 138391392 178755548 268133322 357511096 536266644 715022192 1072533288 1430044384 2145066576 4290133152