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1642243152 = 243117939371
BaseRepresentation
bin110000111100010…
…1010010001010000
311020110011121002110
41201320222101100
511330403240102
6430542545320
755460556624
oct14170522120
94213147073
101642243152
11773004650
12399b98240
13202306614
1411816d184
159929586c
hex61e2a450

1642243152 has 80 divisors (see below), whose sum is σ = 4686842880. Its totient is φ = 491337600.

The previous prime is 1642243147. The next prime is 1642243189. The reversal of 1642243152 is 2513422461.

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, 22027 + ... + 61397.

It is an arithmetic number, because the mean of its divisors is an integer number (58585536).

Almost surely, 21642243152 is an apocalyptic number.

1642243152 is a gapful number since it is divisible by the number (12) 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 1642243152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343421440).

1642243152 is an abundant number, since it is smaller than the sum of its proper divisors (3044599728).

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

1642243152 is a wasteful number, since it uses less digits than its factorization.

1642243152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39472 (or 39466 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 1642243152 is about 40524.5993441021. The cubic root of 1642243152 is about 1179.8111236522.

The spelling of 1642243152 in words is "one billion, six hundred forty-two million, two hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 474 528 632 869 948 1264 1738 1896 2607 3476 3792 5214 6952 10428 13904 20856 39371 41712 78742 118113 157484 236226 314968 433081 472452 629936 866162 944904 1299243 1732324 1889808 2598486 3110309 3464648 5196972 6220618 6929296 9330927 10393944 12441236 18661854 20787888 24882472 34213399 37323708 49764944 68426798 74647416 102640197 136853596 149294832 205280394 273707192 410560788 547414384 821121576 1642243152