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190453248 = 293323599
BaseRepresentation
bin10110101101000…
…01011000000000
3111021101000202000
423112201120000
5342224000443
630522024000
74501553166
oct1326413000
9437330660
10190453248
1198562387
1253948000
13305c3b3b
141b419236
1511ac08d3
hexb5a1600

190453248 has 160 divisors (see below), whose sum is σ = 589248000. Its totient is φ = 60622848.

The previous prime is 190453199. The next prime is 190453253. The reversal of 190453248 is 842354091.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 317653 + ... + 318251.

It is an arithmetic number, because the mean of its divisors is an integer number (3682800).

Almost surely, 2190453248 is an apocalyptic number.

190453248 is a gapful number since it is divisible by the number (18) 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 190453248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294624000).

190453248 is an abundant number, since it is smaller than the sum of its proper divisors (398794752).

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

190453248 is an equidigital number, since it uses as much as digits as its factorization.

190453248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 190453248 is about 13800.4799916525. The cubic root of 190453248 is about 575.3464810321.

The spelling of 190453248 in words is "one hundred ninety million, four hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 599 621 736 768 828 864 1104 1152 1198 1242 1472 1536 1656 1728 1797 2208 2304 2396 2484 2944 3312 3456 3594 4416 4608 4792 4968 5391 5888 6624 6912 7188 8832 9584 9936 10782 11776 13248 13777 13824 14376 16173 17664 19168 19872 21564 26496 27554 28752 32346 35328 38336 39744 41331 43128 52992 55108 57504 64692 76672 79488 82662 86256 105984 110216 115008 123993 129384 153344 158976 165324 172512 220432 230016 247986 258768 306688 317952 330648 345024 371979 440864 460032 495972 517536 661296 690048 743958 881728 920064 991944 1035072 1322592 1380096 1487916 1763456 1983888 2070144 2645184 2760192 2975832 3526912 3967776 4140288 5290368 5951664 7053824 7935552 8280576 10580736 11903328 15871104 21161472 23806656 31742208 47613312 63484416 95226624 190453248