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874233472 = 2771989577
BaseRepresentation
bin110100000110111…
…011111010000000
32020221000122212111
4310012323322000
53242300432342
6222425505104
730443601430
oct6406737200
92227018774
10874233472
11409533602
12204942194
1310c174618
14841702c0
1551b3c217
hex341bbe80

874233472 has 128 divisors (see below), whose sum is σ = 2122416000. Its totient is φ = 350355456.

The previous prime is 874233469. The next prime is 874233499. The reversal of 874233472 is 274332478.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1514848 + ... + 1515424.

It is an arithmetic number, because the mean of its divisors is an integer number (16581375).

Almost surely, 2874233472 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 874233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061208000).

874233472 is an abundant number, since it is smaller than the sum of its proper divisors (1248182528).

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

874233472 is a wasteful number, since it uses less digits than its factorization.

874233472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its digits is 225792, while the sum is 40.

The square root of 874233472 is about 29567.4393886248. The cubic root of 874233472 is about 956.1862116335.

The spelling of 874233472 in words is "eight hundred seventy-four million, two hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 89 112 128 133 152 178 224 266 304 356 448 532 577 608 623 712 896 1064 1154 1216 1246 1424 1691 2128 2308 2432 2492 2848 3382 4039 4256 4616 4984 5696 6764 8078 8512 9232 9968 10963 11392 11837 13528 16156 17024 18464 19936 21926 23674 27056 32312 36928 39872 43852 47348 51353 54112 64624 73856 76741 79744 87704 94696 102706 108224 129248 153482 175408 189392 205412 216448 258496 306964 350816 359471 378784 410824 516992 613928 701632 718942 757568 821648 975707 1227856 1403264 1437884 1515136 1643296 1951414 2455712 2875768 3286592 3902828 4911424 5751536 6573184 6829949 7805656 9822848 11503072 13659898 15611312 23006144 27319796 31222624 46012288 54639592 62445248 109279184 124890496 218558368 437116736 874233472