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193995264 = 293532383
BaseRepresentation
bin10111001000000…
…10001000000000
3111112000222110210
423210002020000
5344130322024
631125554120
74543634601
oct1344021000
9445028423
10193995264
119a561571
1254b75940
13312640c8
141ba9bda8
1512070129
hexb902200

193995264 has 80 divisors (see below), whose sum is σ = 526787712. Its totient is φ = 63418368.

The previous prime is 193995259. The next prime is 193995283. The reversal of 193995264 is 462599391.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80217 + ... + 82599.

Almost surely, 2193995264 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 193995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263393856).

193995264 is an abundant number, since it is smaller than the sum of its proper divisors (332792448).

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

193995264 is an equidigital number, since it uses as much as digits as its factorization.

193995264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2441 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

The square root of 193995264 is about 13928.2182636545. The cubic root of 193995264 is about 578.8913264263.

The spelling of 193995264 in words is "one hundred ninety-three million, nine hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1272 1536 1696 2383 2544 3392 4766 5088 6784 7149 9532 10176 13568 14298 19064 20352 27136 28596 38128 40704 57192 76256 81408 114384 126299 152512 228768 252598 305024 378897 457536 505196 610048 757794 915072 1010392 1220096 1515588 1830144 2020784 3031176 3660288 4041568 6062352 8083136 12124704 16166272 24249408 32332544 48498816 64665088 96997632 193995264