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190414848 = 215313149
BaseRepresentation
bin10110101100110…
…00000000000000
3111021022002001210
423112120000000
5342221233343
630521130120
74501333221
oct1326300000
9437262053
10190414848
1198536548
1253929940
13305ac510
141b409248
1511ab4333
hexb598000

190414848 has 128 divisors (see below), whose sum is σ = 550494000. Its totient is φ = 58195968.

The previous prime is 190414843. The next prime is 190414853. The reversal of 190414848 is 848414091.

It is an interprime number because it is at equal distance from previous prime (190414843) and next prime (190414853).

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190414843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277878 + ... + 1278026.

Almost surely, 2190414848 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 190414848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275247000).

190414848 is an abundant number, since it is smaller than the sum of its proper divisors (360079152).

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

190414848 is an equidigital number, since it uses as much as digits as its factorization.

190414848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 190414848 is about 13799.0886655605. The cubic root of 190414848 is about 575.3078104920.

The spelling of 190414848 in words is "one hundred ninety million, four hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 149 156 192 208 256 298 312 384 416 447 512 596 624 768 832 894 1024 1192 1248 1536 1664 1788 1937 2048 2384 2496 3072 3328 3576 3874 4096 4768 4992 5811 6144 6656 7152 7748 8192 9536 9984 11622 12288 13312 14304 15496 16384 19072 19968 23244 24576 26624 28608 30992 32768 38144 39936 46488 49152 53248 57216 61984 76288 79872 92976 98304 106496 114432 123968 152576 159744 185952 212992 228864 247936 305152 319488 371904 425984 457728 495872 610304 638976 743808 915456 991744 1220608 1277952 1487616 1830912 1983488 2441216 2975232 3661824 3966976 4882432 5950464 7323648 7933952 11900928 14647296 15867904 23801856 31735808 47603712 63471616 95207424 190414848