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4270464 = 273211337
BaseRepresentation
bin10000010010100110000000
322000221222100
4100102212000
52043123324
6231310400
751204222
oct20224600
98027870
104270464
112457510
12151b400
13b66a03
147d2412
155954c9
hex412980

4270464 has 96 divisors (see below), whose sum is σ = 13445640. Its totient is φ = 1290240.

The previous prime is 4270463. The next prime is 4270471. The reversal of 4270464 is 4640724.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12504 + ... + 12840.

Almost surely, 24270464 is an apocalyptic number.

4270464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722820).

4270464 is an abundant number, since it is smaller than the sum of its proper divisors (9175176).

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

4270464 is a wasteful number, since it uses less digits than its factorization.

4270464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4270464 is about 2066.5101015964. The cubic root of 4270464 is about 162.2401559234.

The spelling of 4270464 in words is "four million, two hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 337 352 384 396 528 576 674 704 792 1011 1056 1152 1348 1408 1584 2022 2112 2696 3033 3168 3707 4044 4224 5392 6066 6336 7414 8088 10784 11121 12132 12672 14828 16176 21568 22242 24264 29656 32352 33363 43136 44484 48528 59312 64704 66726 88968 97056 118624 129408 133452 177936 194112 237248 266904 355872 388224 474496 533808 711744 1067616 1423488 2135232 4270464