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4376640 = 26354797
BaseRepresentation
bin10000101100100001000000
322020100121210
4100230201000
52110023030
6233450120
752125612
oct20544100
98210553
104376640
11251a264
121570940
13ba3138
1481cdb2
155b6bb0
hex42c840

4376640 has 112 divisors (see below), whose sum is σ = 14337792. Its totient is φ = 1130496.

The previous prime is 4376629. The next prime is 4376663. The reversal of 4376640 is 466734.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4376598 and 4376607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45072 + ... + 45168.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

Almost surely, 24376640 is an apocalyptic number.

4376640 is a gapful number since it is divisible by the number (40) 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 4376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896).

4376640 is an abundant number, since it is smaller than the sum of its proper divisors (9961152).

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

4376640 is a wasteful number, since it uses less digits than its factorization.

4376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 4376640 is about 2092.0420645867. The cubic root of 4376640 is about 163.5737493326.

The spelling of 4376640 in words is "four million, three hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 97 120 141 160 188 192 194 235 240 282 291 320 376 388 470 480 485 564 582 705 752 776 940 960 970 1128 1164 1410 1455 1504 1552 1880 1940 2256 2328 2820 2910 3008 3104 3760 3880 4512 4559 4656 5640 5820 6208 7520 7760 9024 9118 9312 11280 11640 13677 15040 15520 18236 18624 22560 22795 23280 27354 31040 36472 45120 45590 46560 54708 68385 72944 91180 93120 109416 136770 145888 182360 218832 273540 291776 364720 437664 547080 729440 875328 1094160 1458880 2188320 4376640