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429148640 = 2554165419
BaseRepresentation
bin11001100101000…
…100100111100000
31002220112000021002
4121211010213200
51334330224030
6110330051132
713430463134
oct3145044740
91086460232
10429148640
112002747a8
12bb879aa8
136aba8c0b
1440dd13c4
1527a20245
hex199449e0

429148640 has 48 divisors (see below), whose sum is σ = 1038607920. Its totient is φ = 167470080.

The previous prime is 429148633. The next prime is 429148673. The reversal of 429148640 is 46841924.

It is a junction number, because it is equal to n+sod(n) for n = 429148594 and 429148603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26150 + ... + 39269.

It is an arithmetic number, because the mean of its divisors is an integer number (21637665).

Almost surely, 2429148640 is an apocalyptic number.

429148640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429148640 is an abundant number, since it is smaller than the sum of its proper divisors (609459280).

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

429148640 is a wasteful number, since it uses less digits than its factorization.

429148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65475 (or 65467 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 429148640 is about 20715.9030698640. The cubic root of 429148640 is about 754.2857681250.

The spelling of 429148640 in words is "four hundred twenty-nine million, one hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 65419 130838 261676 327095 523352 654190 1046704 1308380 2093408 2616760 2682179 5233520 5364358 10467040 10728716 13410895 21457432 26821790 42914864 53643580 85829728 107287160 214574320 429148640