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2872608 = 253231301
BaseRepresentation
bin1010111101010100100000
312101221110220
422331110200
51213410413
6141323040
733262644
oct12752440
95357426
102872608
111692262
12b66480
1379768b
1454ac24
153bb223
hex2bd520

2872608 has 48 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 915200.

The previous prime is 2872607. The next prime is 2872621. The reversal of 2872608 is 8062782.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2872601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1558 + ... + 2858.

It is an arithmetic number, because the mean of its divisors is an integer number (164052).

22872608 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 2872608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2872608 is an abundant number, since it is smaller than the sum of its proper divisors (5001888).

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

2872608 is a wasteful number, since it uses less digits than its factorization.

2872608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2872608 is about 1694.8769866866. The cubic root of 2872608 is about 142.1539030954.

The spelling of 2872608 in words is "two million, eight hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1301 2208 2602 3903 5204 7806 10408 15612 20816 29923 31224 41632 59846 62448 89769 119692 124896 179538 239384 359076 478768 718152 957536 1436304 2872608