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35142480 = 2432548809
BaseRepresentation
bin1000011000001…
…1101101010000
32110010102102100
42012003231100
532444024410
63253120400
7604464132
oct206035520
973112370
1035142480
111892307a
12b929100
137385889
14494b052
1531428c0
hex2183b50

35142480 has 60 divisors (see below), whose sum is σ = 118022580. Its totient is φ = 9371136.

The previous prime is 35142479. The next prime is 35142509. The reversal of 35142480 is 8424153.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 22695696 = 3528^2 + 4764^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23685 + ... + 25124.

It is an arithmetic number, because the mean of its divisors is an integer number (1967043).

Almost surely, 235142480 is an apocalyptic number.

35142480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35142480 is an abundant number, since it is smaller than the sum of its proper divisors (82880100).

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

35142480 is a wasteful number, since it uses less digits than its factorization.

35142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48828 (or 48819 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 35142480 is about 5928.1093107331. The cubic root of 35142480 is about 327.5498981912.

The spelling of 35142480 in words is "thirty-five million, one hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 48809 97618 146427 195236 244045 292854 390472 439281 488090 585708 732135 780944 878562 976180 1171416 1464270 1757124 1952360 2196405 2342832 2928540 3514248 3904720 4392810 5857080 7028496 8785620 11714160 17571240 35142480