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374211552 = 253111327259
BaseRepresentation
bin10110010011100…
…000001111100000
3222002010220202010
4112103200033200
51231244232202
6101044352520
712162513531
oct2623401740
9862126663
10374211552
11182261750
12a53a5740
135c6b2570
14379b0688
1522cbc76c
hex164e03e0

374211552 has 96 divisors (see below), whose sum is σ = 1154079360. Its totient is φ = 104670720.

The previous prime is 374211521. The next prime is 374211557. The reversal of 374211552 is 255112473.

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 (374211557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99 + ... + 27357.

It is an arithmetic number, because the mean of its divisors is an integer number (12021660).

Almost surely, 2374211552 is an apocalyptic number.

374211552 is a gapful number since it is divisible by the number (32) 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 374211552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577039680).

374211552 is an abundant number, since it is smaller than the sum of its proper divisors (779867808).

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

374211552 is a wasteful number, since it uses less digits than its factorization.

374211552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27296 (or 27288 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 374211552 is about 19344.5483793238. The cubic root of 374211552 is about 720.6190355196.

The spelling of 374211552 in words is "three hundred seventy-four million, two hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 27259 54518 81777 109036 163554 218072 299849 327108 354367 436144 599698 654216 708734 872288 899547 1063101 1199396 1308432 1417468 1799094 2126202 2398792 2616864 2834936 3598188 3898037 4252404 4797584 5669872 7196376 7796074 8504808 9595168 11339744 11694111 14392752 15592148 17009616 23388222 28785504 31184296 34019232 46776444 62368592 93552888 124737184 187105776 374211552