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2057374400 = 26521285859
BaseRepresentation
bin111101010100001…
…0000101011000000
312022101022110002212
41322220100223000
513203141440100
6540052401252
7101661252044
oct17250205300
95271273085
102057374400
11966374924
12495016228
1326a315203
14157352024
15c0947635
hex7aa10ac0

2057374400 has 42 divisors (see below), whose sum is σ = 5062430820. Its totient is φ = 822949120.

The previous prime is 2057374387. The next prime is 2057374409. The reversal of 2057374400 is 44737502.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2057374409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 641330 + ... + 644529.

Almost surely, 22057374400 is an apocalyptic number.

2057374400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2057374400 is an abundant number, since it is smaller than the sum of its proper divisors (3005056420).

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

2057374400 is a wasteful number, since it uses less digits than its factorization.

2057374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285881 (or 1285866 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 2057374400 is about 45358.2892093606. The cubic root of 2057374400 is about 1271.8555140923.

The spelling of 2057374400 in words is "two billion, fifty-seven million, three hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 1285859 2571718 5143436 6429295 10286872 12858590 20573744 25717180 32146475 41147488 51434360 64292950 82294976 102868720 128585900 205737440 257171800 411474880 514343600 1028687200 2057374400